This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

The Bayesian methods depart from the Howard method in how releases are estimated. The Howard methods assume that the species composition of the harvests are equal to the species composition of released fish, which is clearly contraindicated in the logbook data. For instance, logbook data demonstrates that yelloweye have been retained at high levels up until restrictions were enacted in recent years, whereas pelagic rockfish were released in significant numbers in the past with retention increasing in recent years as they have become more prized by anglers. Recent prohibition on retaining yelloweye in Southeast Alaska highlights the shortcomings of the original Howard assumptions as the species composition of the harvest would indicate that no yelloweye were caught and released during the closure.

The Howard method for estimating releases for private anglers also relied on an expansion of the logbook release estimates based on the ratio of private:guided releases of all rockfish in the SWHS. In addition to the faulty assumptions about species composition, this method ignores potential bias in SWHS estimates of harvests and releases or at least assumes that the bias in release and harvests are the same. As demonstrated in Figure 1, the bias in those two quantities appears to be quite different based on the logbook data. The Bayesian model thus attempts to estimate release probabilities based on the logbook data coupled with bias corrected estimates from the SWHS.

Lastly, the Howard methods were only used on data beginning in 1999 with the advent of the logbook program and estimates of harvests and releases prior to that have been based on linear ramps from 1999 back to the perceived start of the fishery. The Bayesian methods allow us to expand the time series back to 1977 when the SWHS was implemented by leveraging regional data trends in species composition and the proportion of caught rockfish harvested by species and/or species complex. Key advantages of the Bayesian approach are highlighted in table 1.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.

Data

Harvest data was available for 22 commercial fishing management areas in Southcentral and Southeast Alaska. Areas with negligible rockfish harvest were pooled with adjacent areas for analysis. Specifically the Aleutian and Bering areas were pooled into an area labeled BSAI; the IBS and EKYT were pooled into an area labeled EKYKT; the Southeast, Southwest, SAKPEN and Chignik areas were pooled into an area labeled SOKO2PEN and the Westside and Mainland areas were pooled into an area labeled WKMA.

Stateside Harvest Survey (SWHS)

Statewide harvest survey estimates of rockfish catch and harvest are available for 28 years (1996-2023) for all users and for 13 years (2011-2023) for guided anglers (Figure 0). Additionally, there are overall harvest estimates from 1977- 1995 and release estimates from 1990-1995 that required some partitioning to ascribe to current management units. Harvests in unknown areas were apportioned based on harvest proportions in 1996. Variance estimates are not available for pre-1996 data and as such, the maximum observed coefficient of variation (cv) in each commercial fisheries management unit was applied to the pre-1996 values.

**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


SWHS estimates are believed to be biased to some degree. These modelling efforts aim to estimate and correct for that bias with the assumption that logbook records are a census of guided harvests and releases.

SWHS Rockfish release estimates are inferred from the difference between catch and harvest estimates.

Adam noted that the first 5 years (23 years counting the historical data) in the SWHS data set for PWSO seem unreasonable (close to zero and not corroborated with logbook estimates). Adam recommended setting these harvests to unknown, but current model development has included the data. Once a satisfactory model has been identified we will exam the effects of censoring the PWSO data.

Creel Surveys

NA

Guide Logbooks

Sport fishing guides have been required to report their harvest of rockfish for 26 years (1998-2023). Reported harvest is also available by assemblage (pelagic vs. non-pelagic). Harvest of yelloweye and “other” (non-pelagic, non-yelloweye) rockfish were reported separately beginning in 2006.

Logbooks also record the number of rockfish released for the same categories. However, the reliability of the release data is somewhat questionable as reported releases are generally far lower than that estimated by the SWHS. As such several treatments of the data are considered.

Logbook versus SWHS estimates

Estimates of guided harvests and releases from the SWHS do not align with the census from charter logbooks. Logbook harvest reports are generally considered reliable and are used to assess the bias in SWHS reports. However, there is even greater disparity between release estimates in the two sources and it is debatable whether logbook releases should be treated as a census. The Howard et al. (2020) methods do treat the logbook release data as “true” and thus are considerably less than would be estimated from the SWHS data.

**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


A note on model development

To evaluate the discrepancy in apparent bias in harvest and release data, several models were explored to estimate releases during model development. One method (\(LB_{fit}\)) considers the logbook release data to be reliable and a second method (\(LB_{cens}\)) treated the logbook release data as estimates of the minimum released, thus giving more weight to SWHS release estimates. A third method (\(LB_{hyb}\)) is a hybrid approach that treats reported releases of yelloweye as reliable but total rockfish and pelagic rockfish releases as minimums. Model development revealed a tension between the total and pelagic logbook releases and the yelloweye logbook releases. This tensions eventually highlighted the different release/retention probabilities between yelloweye and pelagics in the logbook data and prompted the current approach whereby that probability was calculated for the three main species complexes covered in the data: pelagics, yelloweye, and “other”. The methods described here follow the (\(LB_{fit}\)) formulation. Based on model behavior it is unlikely that the (\(LB_{cens}\)) model would work as there would not be enough data to estimate release probabilities. However, it may be worth running the (\(LB_{hyb}\)) approach as a sensitivity test at the very least.

Composition data

Harvest sampling data exists from Gulf of Alaska areas since 1996 and from Southeast Alaska areas since 2006. Port sampling data is comprised of the number of total rockfish, pelagic and non-pelagic rockfish, black rockfish and yelloweye rockfish. In Southeast Alaska, the number of Demersal Shelf Rockfish (DSR, of which yelloweye are one species) and slope rockfish are also recorded.

Process equations

The true harvest \(H_{ay}\) of rockfish for area \(a\) during year \(y\) is assumed to follow a temporal trend defined by a penalized spline:

\[\begin{equation} \textrm{log}(H_{ay})~\sim~\textrm{Normal}(f(a,y), {\sigma_H}) \end{equation}\]

where \(f(a,y)\) in a p-spline basis with 7 components (knots) and a second degree penalty. The variance, \(\sigma_H\), was given a normal prior with a mean and standard deviation of 0.25 and 1, respectively.

Charter and private harvest \(H_{ayu}\) (where u = 1 for charter anglers and u = 2 for private anglers) is a fraction of total annual harvest in each area:

\[\begin{equation} H_{ay1}~=~H_{ay}P_{(user)ay1}\\H_{ay2}~=~H_{ay}(1-P_{(user)ay1}) \end{equation}\]

where \(P_{(user)ay1}\) is the fraction of the annual harvest in each area taken by charter anglers. \(P_{(user)ay1}\) was modeled hierarchically across years as:

\[\begin{equation} P_{(user)ay1}~\sim~\textrm{beta}(\lambda1_a, \lambda2_a) \end{equation}\]

with non-informative priors on both parameters.

Annual black rockfish harvest \(H_{(black)ayu}\) for each area and user group is:

\[\begin{equation} H_{(black)ayu}~=~H_{ayu}P_{(pelagic)ayu}P_{(black|pelagic)ayu} \end{equation}\]

where \(P_{(pelagic)ayu}\) is the fraction of the annual harvest for each area and user group that was pelagic rockfish and \(P_{(black|pelagic)ayu}\) is the fraction of the annual harvest of pelagic rockfish for each area and user group that was black rockfish.

The southeast region also tracks two other non-pelagic rockfish assemblages, demersal shelf rockfish (DSR, which includes yelloweye) and slope rockfish. For the southeast region the harvest of those two assemblages is thus

\[\begin{equation} H_{(DSR)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(DSR|non-pelagic)ayu}\\ H_{(slope)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(slope|non-pelagic)ayu}\\ \end{equation}\]

where \(P_{(DSR|non-pelagic)ayu}\) and \(P_{(slope|non-pelagic)ayu}\) are the fractions of the annual harvest of non-pelagic rockfish for each area and user group that were DSR and slope rockfish, respectively.

Annual yelloweye rockfish harvest \(H_{(yelloweye)ayu}\) for each area and user group is calculated differently for central/Kodiak areas and southeast areas. For central and Kodiak areas yelloweye rockfish harvests are calculated as

\[\begin{equation} H_{(yelloweye)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(yelloweye|non-pelagic)ayu} \end{equation}\]

where \(P_{(yellow|non-pelagic)ayu}\) is the fraction of the annual harvest of non-pelagic rockfish for each area and user group that was yelloweye rockfish.

For southeast areas yelloweye harvests are a fraction of the DSR harvests such that

\[\begin{equation} H_{(yelloweye)ayu}~=~H_{(DSR)ayu}P_{(yelloweye|DSR)ayu} \end{equation}\]

The composition parameters \(P_{(comp)ayu}\), were modeled using a logistic curve that would allow hindcasting without extrapolating beyond the limit of observed values such that:

\[\begin{equation} \textrm{logit}(P_{(comp)ayu})~=~\beta0_{(comp)ayu} + \frac{\beta1_{(comp)ayu}}{(1 + exp(\beta2_{(comp)ayu}*(y - \beta3_{(comp)ayu})))} + \beta4_{(comp)ayu}*I(u=private)+re_{(comp)ayu} \end{equation}\]

where the \(\beta\) parameters define the intercept, scaling factor, slope, inflection point and private angler effect, respectively, \(y\) is the year index, \(I(u=private)\) is an index variable which is 1 when the user groups is private and 0 otherwise and \(re_{(comp)ayu}\) is a random effect with a non-informative prior. \(\beta\) parameters were modeled hierarchically by region. When \(\beta\) parameters were inestimable as a result of no discernible change in composition over the observed time period. \(\beta1\) (scaling factor) and \(\beta2\) (slope) were fixed to 0 so that the long term mean value was used for hindcasting.

The true number of released rockfish \(R_{ayu}\) were based on the proportion of the total catch harvested, \(pH_{(comp)ayu}\), by area, year, user group and species grouping. Because release data from the SWHS is for all rockfish and the release data from logbooks is only subdivided into pelagics, yelloweye and “other” (non-pelagic, non-yelloweye), we only estimated \(pH_{(comp)ayu}\) for those categories. Thus, converting \(H_{(comp)ayu}\) to total catches by user group, \(C_{(comp)ayu}\), with \(pH_{(comp)ayu}\) results in estimates of total releases such that

\[\begin{equation} R_{(comp)ayu}~=~ C_{(comp)ayu} - H_{(comp)ayu} ~=~ \frac{H_{(comp)ayu}}{pH_{(comp)ayu}} - H_{(comp)ayu} \end{equation}\]

with total releases equal to the sum of the compositional releases. For non-yelloweye DSR and Slope rockfish assemblages in Southeast Alaska \(R_{(DSR)ayu}\) and \(R_{(slope)ayu}\) were estimated from \(R_{(other)ayu}\) using the species composition data from the harvest, thus assuming that slope and DSR assemblages were caught and released at the same rates.

The proportion harvest parameters for \(pH_{(comp)ayu}\) were modeled using a logistic curve that would allow hindcasting based on trends in the data without extrapolating beyond the range of observed values such that

\[\begin{equation} \textrm{logit}(pH_{(pH)ayuc})~=~\beta0_{(pH)ayu} + \frac{\beta1_{(pH)ayuc}}{(1 + exp(\beta2_{(pH)ayuc}*(y - \beta3_{(pH)ayuc})))} + \beta4_{(pH)ayuc}*I(u=private)+re_{(pH)ayuc} \end{equation}\]

A random effect term allowed estimation during the historical period when data is available, but the curve defined by the above equation determined release estimates between 1977 and 1990. As with the compositional trends, \(\beta\) parameters were modeled hierarchically by region. When \(\beta\) parameters were inestimable as a result of no discernable change in harvest probability over the observed time period, \(\beta1\) (scaling factor) and \(\beta2\) (slope) were fixed to 0 so that the long term mean value was applied.

Release mortality (i.e., the number of released rockfish expected to die) was calculated assuming fixed mortality rates developed in each of the regions. Deep water release (DWR) devices were mandated for charter fleets in 2013 and rates were derived from CITATION. Southeast applies basic rates estimated in these studies while Southcentral and Kodiak rates were derived by using historical depth-of-release data to adjust the rates based on area and user group.

The total number of mortalities by year, area, user and species/species assemblage in numbers was calculated by summing harvests and release mortality such that

\[\begin{equation} M_{(comp)ayu}~=~ H_{(comp)ayu} + m_{R-(comp)ayu} * R_{(comp)ayu} \end{equation}\]

where \(m_{R-(comp)ayu}\) is the release mortality rate by year, area, user and species (Figure XX).

Total removals in biomass were converted using the average weight of fish from port sampling?. A minimum sample size per year of X fish was used as the cutoff for including in the data set. Weights were modeled hierarchically to estimate weights in years when data was missing. The total biomass of removals by year, area, user and species was thus

\[\begin{equation} B_{(comp)ayu}~=~ \overline{wt}_{(comp)ayu} * M_{(comp)ayu} \end{equation}\]

where \(\overline{wt}_{(comp)ayu}\) is the mean weight by species, area, user and year.

Observation equations

SWHS estimates of annual rockfish harvest \(\widehat{SWHS}_H{ay}\) were assumed to index true harvest:

\[\begin{equation} \widehat{SWHS}_H{ay}~\sim~\textrm{LogNormal}\left(\textrm{log}(H_{ay}b_{ay}), \sigma_{SWHSHay}^2\right) \end{equation}\]

where bias in the SWHS harvest estimates \(b_H{ay}\) is modeled hierarchically across years as:

\[\begin{equation} b_H{ay}~\sim~\textrm{Normal}(\mu_H{(b)a}, \sigma_H{(b)a}) \end{equation}\]

with non-informative priors on both parameters.

SWHS estimates of guided angler harvest \(\widehat{SWHS}_H{ay1}\) are related to total harvest by:

\[\begin{equation} \widehat{SWHS}_H{ay1}~\sim~\textrm{LogNormal}\left(\textrm{log}(H_{ay1}b_{ay}), \sigma_{SWHS_{ay1}}^2\right) \end{equation}\]

Reported guide logbook harvest \(\widehat{LB}_H{ay}\) is related to true harvest as:

\[\begin{equation} \widehat{LB}_H{ay}~\sim~\textrm{Poisson}(H_{ay1})\\ \widehat{LB}_H{(pelagic)ay}~\sim~\textrm{Poisson}(H_{ay1}P_{(pelagic)ay1})\\ \widehat{LB}_H{(yelloweye)ay}~\sim~\textrm{Poisson}(H_{(yelloweye)ay1})\\ \widehat{LB}_H{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(H_{(nonpel,nonye)ay1})\\ \end{equation}\]

Note that for central and Kodiak areas \(H_{(nonpel,nonye)ay1}\) is equal to the total harvest minus pelagic and yelloweye harvests. For southeast areas \(H_{(nonpel,nonye)ay1}\) is equal to the sum of the DSR and slope harvests minus yelloweye harvests.

SWHS estimates of annual rockfish releases \(\widehat{SWHS}_R{ay}\) were assumed to index true releases in a similar fashion and thus modeled similarly. As such, the release data are related to true releases just as harvests were modeled such that:

\[\begin{equation} \widehat{LB}_R{ay}~\sim~\textrm{Poisson}(R_{ay1})\\ \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{Poisson}(R_{ay1}P_{(pelagic)ay1})\\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

Because logbook release data is more questionable and demonstrates greater disagreement with SWHS estimates (Figure 1), a second approaches was considered that loosened the assumption that logbook releases were a census. Methods explored to develope \(LB_{hyb}\) and \(LB_{cens}\) models are detailed at the end of this section.

SWHS estimates of guided angler release \(\widehat{SWHS}_R{ay1}\) is modeled the same as harvests.

SWHS release bias was modeled independently of the harvest bias \(b_H{ay}\) such that

\[\begin{equation} b_R{ay}~\sim~\textrm{Normal}(\mu_R{(b)a}, \sigma_R{(b)a}) \end{equation}\]

where bias in the SWHS release estimates \(b_R{ay}\) is modeled hierarchically across years as:

\[\begin{equation} b_R{ay}~\sim~\textrm{Normal}(\mu_R{(b)a}, \sigma_R{(b)a}) \end{equation}\]

with non-informative priors on both parameters.

The number of pelagic rockfish sampled in harvest sampling programs \(x_{(pelagic)ayu}\) follow a binomial distribution:

\[\begin{equation} x_{(pelagic)ayu}~\sim~\textrm{Binomial}(P_{(pelagic)ayu}, N_{ayu}) \end{equation}\]

where \(N_{ayu}\) is the total number of rockfish sampled in area \(a\) during year \(y\) form user group \(u\). The number of black rockfish sampled in harvest sampling programs was thus a proportion of the pelagic harvests

\[\begin{equation} x_{(black)ayu}~\sim~\textrm{Binomial}(P_{(black)ayu}, N_{ayu}^{pel}) \end{equation}\]

Yelloweye rockfish in Southcentral and Kodiak were modeled similarly as a proportion of the total number of non-pelagics such that

\[\begin{equation} x_{(yellow_{R2})ayu}~\sim~\textrm{Binomial}(P_{(yellow_{R2})ayu}, N_{ayu}^{nonpel}) \end{equation}\]

Southeast areas have several other non-pelagic groupings such that DSR and slope rockfish are a proportion of non-pelagics

\[\begin{equation} x_{(DSR)ayu}~\sim~\textrm{Binomial}(P_{(DSR)ayu}, N_{ayu}^{nonpel}) \end{equation}\]

and

\[\begin{equation} x_{(slope)ayu}~\sim~\textrm{Binomial}(P_{(slope)ayu}, N_{ayu}^{nonpel}) \end{equation}\]

with yelloweye in southeast a proportion of the DSR harvest

\[\begin{equation} x_{(yellow_{R1})ayu}~\sim~\textrm{Binomial}(P_{(yellow_{R1})ayu}, N_{ayu}^{DSR}). \end{equation}\].

Kodiak has limited port sampling beyond the main harbors but has a robust hydroacoustic survey that is used to quantify black rockfish abundance across the management area and uses stereocameras to derive species compositions of the hydroacoustic data. This data was used as supplementary data to further inform the model to the proportion of pelagic rockfish that are black in Kodiak areas. Angler landings in Kodiak show a higher proportion of black rockfish relative to the hydroacoustic survey and thus the proportion of black rockfish in the hydroacoustic sample related to the true proportion such that

\[\begin{equation} P_{(black|pelagic)ayu}^{HA} ~\sim~ P_{(black|pelagic)ayu} + ae_{au} \end{equation}\].

where \(ae_{au}\) is the angler effect for each area and user group modeled hierarchically around a mean of 0. Predicted \(P_{(black|pelagic)ayu}^{HA}\) assumed a beta distribution such that

\[\begin{equation} P_{(black|pelagic)ayu}^{HA} ~\sim~ beta(\alpha_{HA},\beta_{HA}) \end{equation}\]

where

\[\begin{equation} \alpha_{HA} ~=~ (P_{(black|pelagic)ayu}^{HA})^2 * \frac{1 - P_{(black|pelagic)ayu}^{HA}}{\frac{var_{P_{HA}}-1}{P_{(black|pelagic)ayu}^{HA}}}, \end{equation}\]

\[\begin{equation} \beta_{HA} ~=~ (\alpha_{HA}) * \frac{1}{P_{(black|pelagic)ayu}^{HA} - 1}, \end{equation}\]

\[\begin{equation} var_{P_{HA}} ~=~ (P_{(black|pelagic)ayu}^{HA} * cvP_{(black|pelagic)ayu}^{HA})^2 \end{equation}\]

where \(cvP_{(black|pelagic)ayu}^{HA}\) is the coefficient of variation for the hydroacoustic proportions

\[\begin{equation} cvP_{(black|pelagic)ayu}^{HA} ~=~ \frac{\sqrt{varP_{(black|pelagic)ayu}^{HA}}}{P_{(black|pelagic)ayu}^{HA}} \end{equation}\]

and the variance is approximated using the XXXX method as

\[\begin{equation} varP_{(black|pelagic)ayu}^{HA} ~=~ (\frac{1}{n_{pel}})^2 * varN_{black} + (\frac{n_{black}}{n_{pel}^2}) * varN_{pel} \end{equation}\]

where \(varN_{black}\) and \(varN_{black}\) are the variance of the estimated number of black and pelagic rockfish in the hydroacoustic survey, respectively (CITATION).

The average weight of rockfish by species, user, area and year was modeled hierarchically at several levels within regions such that

\[\begin{equation} wt_{(comp)ayu} ~\sim~ Normal(wt_{(comp)au},\sigma_{wt_{(comp)au}}) ~\sim~ Normal(wt_{(comp)a},\sigma_{wt_{(comp)a}}) ~\sim~ Normal(wt_{(comp)region},\sigma_{wt_{(comp)region}}) \end{equation}\]

where region refers to Kodiak, Southcentral and Southeast. Mean weights and variance were calculated as XXX.

Alternative likelihoods for release estimates

To loosen the assumption that logbook release data are an effective census of true releases I explored models that treated logbook release estimates as a lower bound on the estimate of true releases. In a hybrid approach yelloweye and non-pelagic releases are regarded as a reliable census (given the emphasis and ease of recording these fish) but censors the pelagic and total rockfish release estimates (where censoring implies NA values) such that

\[\begin{equation} \text{censored} \widehat{LB}_R{ay}~\sim~\textrm{LogNormal}\left(\log(R_{ay}), 1\right)\text{T}\left(\widehat{LB}_R{ay}, \infty\right) \\ \text{censored} \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{LogNormal}\left(\log(R_{(pelagic)ay}), 1\right)\text{T}\left(\widehat{LB}_R{(pelagic)ay}, \infty\right) \\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

This model formulation failed such that there was not enough data to inform pelagic releases and the values did not seem valid. A second approach is being explored that fits the censored data using a lognormal distribution centered around the logbook release value, but also with a lower bound equal to the number of recorded releases such that

\[\begin{equation} \widehat{LB}_R{ay}~\sim~\textrm{LogNormal}\left(\log(R_{ay}), \sigma_{Ray1}^2\right)\text{T}\left(\widehat{LB}_R{ay}, \infty\right) \\ \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{LogNormal}\left(\log(R_{(pelagic)ay}), \sigma_{Ray1}^2\right)\text{T}\left(\widehat{LB}_R{(pelagic)ay}, \infty\right) \\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

Logbook data is assumed to be a census and as such there is no estimate of uncertainty. As of this writing, several methods are being examined for how to treat \(\sigma_{Ray1}^2\). Models are being run that attempt to allow the model to estimate \(\sigma_{Ray1}^2\) with priors. A simple model applies a uniform prior (0.1,50) to \(\sigma_{Ray1}^2\). A hierarchichal approach based on regions is also being examined whereby \(\sigma_{Ray1}^2\) is lognormally distributed around hyper priors \(\mu_{\sigma_R}\) and \(\sigma_{\sigma_R}\). Initial efforts have applied a uniform prior on \(\mu_{\sigma_R}\) between 1 and 50 and on \(\sigma_{\sigma_R}\) between 0 and 10.

Priors.

Priors range from uninformative to very informative or fixed. Priors for compositional logistic parameters are in Table 2 and proportion harvest logistic parameters are in Table 3. Until I figure out how to make a nice table in Rmarkdown, please refer to the attached spreadsheet and comp and harvp tabs.

Unresolved issues and outstanding questions:

  1. Reliability of unguided release estimates: These estimates have the least information feeding them and rely on the bias-corrected SWHS release estimates of all rockfish and the trends in release probability evident in the logbook data. The \(\beta4\) term that estimates the guided/unguided effect was given a very informative prior that tied the release probability of private anglers tightly to that of the charter fleet. The model is then trying to balance the three species complex estimates (pelagic, yelloweye and other) so that they sum to the total unguided releases estimated from the bias corrected SWHS data. For the most part this seems reasonable and appears to work, but there are certain areas where the estimates are “wonky”:

    1. Total rockfish releases more or less align with the total releases estimated with the Howard methods. Presumably, much of the discrepancy results from the substantial bias in release estimates from the SWHS. Interestingly, the logbook data indicates that the SWHS underestimates harvests but overestimates releases by a significant factor (Figure 23 and 24 below).
    2. In general, release estimates of black rockfish are substantially lower than those calculated using the Howard methods. Presumably, much of this derives from the bias correction of the SWHS release estimates.
    3. Yelloweye release estimates also differ considerably from the Howard estimates, but unlike black rockfish are sometimes lower and sometimes higher. Two areas in particular are a little head scratching. Yelloweye releases in the Kodiak Northeast area in particular are significantly lower than for guided anglers with the same pattern evident in Cook Inlet to a lesser extent. Cook Inlet yelloweye numbers are very small, so this is a sample size issue with little consequence. The cause of the Kodiak northeast estimates is not clear to me at this point, but the model estimates the proportion harvested by unguided anglers to be much lower than that of guided anglers, even with the informative prior on \(\beta4\). This must be a product of the bias corrected SWHS release estimates and how the model is partitioning that estimate into the 3 species complexes, but itis a bit a of head scratcher.
  2. Proportion guided estimates: There is not much data on this proportion prior to 2011 and it is not modeled with any sort of trend as was done for species composition and harvest proportions. With the exception of Cook Inlet and North Gulf Coast areas, there is little, if any, trend apparent in the data and perhaps this approach is the best available given the data available. However, if there are data sources somewhere that could inform this part of the model they could be incorporated.

  3. Prior choices in general need to be vetted. The priors on the logistic curves are fairly informed in an effort to achieve the desired shapes for hindcasting. Ideally, sensitivity testing would occur but the model is very slow to converge. The beta parameters on the logistic curves have required a lot of work on the priors to reach convergence.

  4. Proportion harvest estimates for non-pelagic, non-yelloweye in Kodiak WKMA: I need to adjust the prior on the inflection point, \(\beta3\), so that it is forced to occur after 2006. Right now the model is estimating inflection in two Kodiak areas before that point where there is no data to justify a shift. The current inflection is a result of the hierachichal model.

  5. Proportion pelagic in PWS and CSEO: The parameters for these particular proportions are very slow to converge. For the CSEO, the estimates of the \(\beta\) parameters are similar to the other Southeast areas, but the mixing is poor over the length of the chains. In this case I think they will ultimately converge with a very long model run and the shape of the curve in the model output looks acceptable. For the two PWS areas the model seems to struggle with the disparate proportional data from the logbook and the port sampling. There is some wandering in the chains of the \(\beta0\) and \(\beta1\) terms and spikiness in the \(\beta2\) terms. I’ve been working on constraining the hyperpriors for PWS \(beta2\). Similar to CSEO, it may just entail a very long model run to reach convergence, but the shape of the curves looks reasonable.

Next steps:

Once the model is finalized, harvest and release numbers need to be converted into biomass removals. This is a two step process where release mortality estimates are applied to the release estimates to estimate the number of released rockfish that do not survive. This is based on studies and will reflect the values that the department has been using with the Howard methods. Region 2 (both Southcentral and Kodiak) have release-at-depth estimates from a number of years that they apply across all years and then calculate mortality rates based on those estiates. Southease does not have release-at-depth data and simply applies an assumed rate based on research.

Once release mortality is calculated average weight data is applied to convert numbers to biomass. The plan is to incorporate all of this into the model to propogate uncertainty into the posteriors. However, the model already takes a long time to run and I may explore a simpler approach using the posteriors from the numbers model to speed up processing.

Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

**Figure 13.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 13.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 14.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 14.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 15.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 16.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 17.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 18.**- Residuals from logbook harvests.

Figure 18.- Residuals from logbook harvests.


SWHS residuals

**Figure 19.**- Residuals from SWHS harvests.

Figure 19.- Residuals from SWHS harvests.



**Figure 20.**- Residual of SWHS releases.

Figure 20.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 21.**- Mean percent of harvest by charter anglers.

Figure 21.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 22.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 22.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 23.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 23.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 24.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 24.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 25.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 25.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


## NULL


## NULL

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 28.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 28.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 29.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 29.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 30.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 30.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 31.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 31.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 32.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 32.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 33.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 33.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

**Figure 35.**- Annual estimates of the percent of the sport non-pelagic, non-yelloweye releases that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023.

Figure 35.- Annual estimates of the percent of the sport non-pelagic, non-yelloweye releases that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023.



Weight Fits

**Figure 36.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 36.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 37.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 40.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


### Summary of unconverged parameters:

Table X. Unconverged parameters.

area

variable

year

user

species

Rhat

BSAI

tau_prigui_pre

1.291016

BSAI

Rp_ayu

1

1.288801

BSAI

R_ayu

1

1.288800

BSAI

Rp_ay

1

1.288744

BSAI

R_ay

1

1.288742

BSAI

Rb_ayu

1

1.288696

BSAI

Rb_ay

1

1.288636

BSAI

R_ayu

4

1.278203

BSAI

Rp_ayu

4

1.278195

BSAI

Rb_ayu

4

1.278087

BSAI

Rp_ay

4

1.275048

BSAI

R_ay

4

1.275003

BSAI

Rb_ay

4

1.274904

BSAI

Hb_ayg

3

1.268206

BSAI

R_ayu

11

1.266908

BSAI

Rp_ayu

11

1.266904

BSAI

Rp_ay

11

1.266719

BSAI

R_ay

11

1.266718

BSAI

H_ayg

3

1.266065

BSAI

Hp_ayg

3

1.265995

BSAI

Rb_ayu

11

1.263335

BSAI

Rb_ay

11

1.263175

BSAI

Ro_ayg

3

1.263172

BSAI

Hy_ayu

15

1.262623

BSAI

Ho_ayg

3

1.260787

BSAI

Hy_ay

15

1.260045

BSAI

Hy_ayg

3

1.255793

BSAI

Rb_ayu

9

1.250694

BSAI

R_ayu

9

1.250280

BSAI

Rp_ayu

9

1.250278

BSAI

Rb_ay

9

1.248606

BSAI

Rp_ay

9

1.248131

BSAI

R_ay

9

1.248118

BSAI

Ro_ay

3

1.247216

BSAI

Rp_ayu

2

1.234543

BSAI

R_ayu

2

1.234531

BSAI

Ro_ayu

3

1.234469

BSAI

Rb_ayu

2

1.234070

BSAI

Rp_ay

2

1.232400

BSAI

R_ay

2

1.232368

BSAI

Ro_ayu

11

1.231970

BSAI

Rb_ay

2

1.231950

BSAI

Rb_ayu

5

1.231103

BSAI

R_ayu

5

1.230037

BSAI

Rp_ayu

5

1.230018

BSAI

Rb_ay

5

1.226114

BSAI

Rp_ay

5

1.224671

BSAI

R_ay

5

1.224665

BSAI

Ro_ay

11

1.221633

BSAI

Ro_ayu

2

1.219449

BSAI

Ho_ay

10

1.211405

BSAI

Ho_ayu

10

1.210856

BSAI

Ry_ayg

3

1.201814

BSAI

Rb_ayu

8

1.199759

BSAI

R_ayu

8

1.199038

BSAI

Rp_ayu

8

1.199019

BSAI

Rb_ay

8

1.198546

BSAI

Rp_ay

8

1.197791

BSAI

R_ay

8

1.197774

BSAI

Rp_ayu

17

1.195497

BSAI

R_ayu

17

1.195373

BSAI

Rb_ayu

17

1.195305

BSAI

Ro_ay

2

1.191194

BSAI

Hb_ay

3

1.190191

BSAI

Rb_ay

17

1.189041

BSAI

Rp_ay

17

1.188420

BSAI

R_ay

17

1.188194

BSAI

Hp_ay

3

1.186316

BSAI

Ry_ayu

3

1.181717

BSAI

Ry_ay

3

1.181531

BSAI

Rb_ayg

3

1.176878

BSAI

H_ay

3

1.176200

BSAI

Ry_ayu

1

1.168999

BSAI

Ry_ay

1

1.168663

BSAI

R_ayg

3

1.168233

BSAI

Rp_ayg

3

1.167306

BSAI

Rb_ayu

14

1.166661

BSAI

R_ayu

14

1.164365

BSAI

Rp_ayu

14

1.164296

BSAI

Rb_ay

14

1.157740

BSAI

Ro_ayg

15

1.157037

BSAI

R_ay

14

1.154927

BSAI

Rp_ay

14

1.154906

BSAI

Ry_ayg

2

1.151586

BSAI

Hy_ay

14

1.150162

BSAI

Hy_ayu

14

1.148326

BSAI

Ry_ayu

43

1.146166

BSAI

Ry_ay

43

1.145972

BSAI

Ro_ayg

16

1.143174

BSAI

Ro_ayg

18

1.139277

BSAI

R_ayu

7

1.134410

BSAI

Rp_ayu

7

1.134317

BSAI

Rb_ay

6

1.133369

BSAI

Rb_ayu

6

1.133185

BSAI

Rb_ayu

7

1.133013

BSAI

Ro_ayg

10

1.132184

BSAI

Rb_ayu

22

1.129505

BSAI

Rp_ay

7

1.129472

BSAI

R_ay

7

1.129454

BSAI

Rb_ay

22

1.128597

BSAI

R_ayu

22

1.128314

BSAI

Rb_ay

7

1.128070

BSAI

Rp_ayu

22

1.127839

BSAI

R_ay

22

1.127394

BSAI

Rp_ay

22

1.126935

BSAI

Rp_ayg

14

1.126773

BSAI

Ho_ayu

5

1.126604

BSAI

Ho_ay

5

1.125901

BSAI

R_ayg

14

1.125868

BSAI

Ry_ayu

17

1.122597

BSAI

Ry_ay

17

1.122488

BSAI

Hb_ayu

3

1.121771

BSAI

Rp_ayg

17

1.121419

BSAI

R_ayg

17

1.121253

BSAI

Hp_ayu

3

1.118380

BSAI

Ho_ayg

16

1.112493

BSAI

Rp_ay

6

1.111920

BSAI

R_ay

6

1.111919

BSAI

R_ayu

6

1.111750

BSAI

Rp_ayu

6

1.111749

BSAI

Ro_ayg

20

1.110674

CI

Ro_ayu

9

1.282099

CI

Ro_ayu

6

1.268526

CI

Ro_ay

6

1.263341

CI

Ro_ay

9

1.263310

CI

Ro_ayg

6

1.238822

CI

Ro_ayg

3

1.236805

CI

Ro_ayg

2

1.231420

CI

Ro_ayu

7

1.221428

CI

Ro_ay

2

1.219775

CI

Ro_ayu

12

1.177882

CI

Ro_ay

11

1.177067

CI

Ro_ayu

11

1.159453

CI

Ro_ay

7

1.152899

CI

Ro_ayg

11

1.152133

CI

R_ayu

9

1.151718

CI

Ro_ay

3

1.144441

CI

Ro_ayu

3

1.143487

CI

Ry_ayu

27

1.142699

CI

Ro_ayu

1

1.138566

CI

Ro_ayu

5

1.137737

CI

Ro_ayg

4

1.137657

CI

Ro_ay

8

1.127594

CI

Ro_ayg

8

1.126915

CI

Ro_ayg

9

1.126878

CI

R_ay

9

1.125229

CI

Ro_ay

5

1.117120

CI

R_ay

6

1.112708

CSEO

beta2_pH

3

1.245228

CSEO

tau_prigui_pre

1.234126

EWYKT

beta2_pH

3

1.305318

EWYKT

tau_prigui_pre

1.289403

EWYKT

Rd_ayu

47

1.253142

EWYKT

Rd_ay

47

1.253142

EWYKT

Bdnye_ayu

47

1.252274

EWYKT

Bdnye_ay

47

1.252274

EWYKT

Tdnye_ayu

47

1.252150

EWYKT

Tdnye_ay

47

1.252150

EWYKT

Rdnye_ayu

47

1.252149

EWYKT

Rdnye_ay

47

1.252149

EWYKT

R_ay

47

1.250901

EWYKT

R_ayu

47

1.250901

EWYKT

Ro_ay

47

1.249834

EWYKT

Ro_ayu

47

1.249834

EWYKT

Rdnye_ayu

45

1.240141

EWYKT

Ro_ayu

45

1.239185

EWYKT

Ro_ay

45

1.238740

EWYKT

Rdnye_ay

45

1.235550

EWYKT

Tdnye_ayu

45

1.229499

EWYKT

Ts_ay

47

1.229336

EWYKT

Rs_ay

47

1.229336

EWYKT

Ts_ayu

47

1.229336

EWYKT

Rs_ayu

47

1.229336

EWYKT

Bdnye_ayu

45

1.229138

EWYKT

Rs_ayu

45

1.223911

EWYKT

Tdnye_ay

45

1.219520

EWYKT

Bdnye_ay

45

1.215941

EWYKT

Ts_ayu

45

1.208483

EWYKT

Rs_ayu

44

1.185888

EWYKT

Rs_ayu

25

1.185319

EWYKT

Rs_ayu

17

1.184279

EWYKT

Ry_ayu

45

1.183545

EWYKT

Ry_ay

45

1.183545

EWYKT

Ts_ayg

3

1.164933

EWYKT

Hs_ayg

3

1.163523

EWYKT

Ts_ay

3

1.162776

EWYKT

Hs_ay

3

1.161483

EWYKT

Rs_ayu

35

1.159555

EWYKT

Rs_ayu

8

1.147612

EWYKT

Ro_ayu

44

1.146592

EWYKT

p_dsr

46

2

1.146274

EWYKT

Ro_ay

44

1.144391

EWYKT

Rd_ayu

45

1.140338

EWYKT

Rd_ay

45

1.140186

EWYKT

Rdnye_ayu

44

1.132226

EWYKT

R_ay

45

1.129611

EWYKT

R_ayu

45

1.129583

EWYKT

Ro_ayu

46

1.126192

EWYKT

Ro_ay

46

1.126151

EWYKT

Rdnye_ay

46

1.125092

EWYKT

Rdnye_ayu

46

1.125090

EWYKT

Tdnye_ayu

46

1.124505

EWYKT

Tdnye_ay

46

1.124480

EWYKT

Bdnye_ayu

46

1.123171

EWYKT

Bdnye_ay

46

1.123049

EWYKT

Rs_ayg

3

1.121302

EWYKT

Rs_ay

3

1.116553

EWYKT

Ts_ayu

44

1.115502

EWYKT

Rs_ayu

46

1.115155

EWYKT

Ts_ayu

46

1.114612

EWYKT

Rs_ay

46

1.111992

NG

tau_prigui_pre

1.282439

NSEI

Ry_ayu

46

1.287358

NSEI

Ry_ay

46

1.287357

NSEI

Rd_ayu

46

1.284948

NSEI

Rd_ay

46

1.284948

NSEI

R_ayu

46

1.270969

NSEI

R_ay

46

1.270968

NSEI

beta2_pH

3

1.253126

NSEI

beta2_black

1.122424

NSEO

tau_prigui_pre

1.291294

NSEO

R_ay

46

1.254301

NSEO

R_ayu

46

1.254300

NSEO

Ry_ay

46

1.254268

NSEO

Ry_ayu

46

1.254268

NSEO

Rd_ay

46

1.254267

NSEO

Rd_ayu

46

1.254267

NSEO

beta2_pH

3

1.251974

NSEO

R_ayu

47

1.166949

NSEO

R_ay

47

1.166945

NSEO

Ry_ayu

47

1.166765

NSEO

Rd_ayu

47

1.166765

NSEO

Rd_ay

47

1.166758

NSEO

Ry_ay

47

1.166758

NSEO

Ry_ayu

44

1.164586

NSEO

Rd_ayu

44

1.164271

NSEO

Ry_ay

44

1.164126

NSEO

Rd_ay

44

1.163759

NSEO

Rs_ayg

7

1.126126

PWSI

tau_prigui_pre

1.279677

PWSI

mu_beta2_pH

3

1.234868

PWSO

tau_prigui_pre

1.275588

PWSO

Ro_ayg

14

1.240188

PWSO

Ro_ayu

4

1.140729

PWSO

Ro_ayg

3

1.124138

PWSO

Ro_ay

4

1.111176

SOKO2SAP

Rb_ayu

22

1.289751

SOKO2SAP

Rb_ay

22

1.289751

SOKO2SAP

R_ayu

22

1.289727

SOKO2SAP

R_ay

22

1.289727

SOKO2SAP

Rp_ayu

22

1.289727

SOKO2SAP

Rp_ay

22

1.289726

SOKO2SAP

Rb_ayu

8

1.289005

SOKO2SAP

Rb_ay

8

1.289005

SOKO2SAP

Rp_ayu

8

1.288995

SOKO2SAP

R_ayu

8

1.288995

SOKO2SAP

Rp_ay

8

1.288995

SOKO2SAP

R_ay

8

1.288995

SOKO2SAP

R_ayu

10

1.277900

SOKO2SAP

Rp_ayu

10

1.277900

SOKO2SAP

R_ay

10

1.277900

SOKO2SAP

Rp_ay

10

1.277900

SOKO2SAP

Rb_ayu

10

1.277889

SOKO2SAP

Rb_ay

10

1.277889

SOKO2SAP

Rb_ayu

5

1.272014

SOKO2SAP

Rb_ay

5

1.272014

SOKO2SAP

R_ayu

5

1.271843

SOKO2SAP

Rp_ayu

5

1.271843

SOKO2SAP

R_ay

5

1.271843

SOKO2SAP

Rp_ay

5

1.271843

SOKO2SAP

Ro_ayu

16

1.263837

SOKO2SAP

R_ay

7

1.258174

SOKO2SAP

Rp_ay

7

1.258174

SOKO2SAP

Rp_ayu

7

1.258174

SOKO2SAP

R_ayu

7

1.258174

SOKO2SAP

Rb_ay

7

1.257537

SOKO2SAP

Rb_ayu

7

1.257537

SOKO2SAP

Rb_ayu

15

1.256514

SOKO2SAP

Rb_ay

15

1.256513

SOKO2SAP

R_ayu

15

1.255616

SOKO2SAP

Rp_ayu

15

1.255616

SOKO2SAP

R_ay

15

1.255615

SOKO2SAP

Rp_ay

15

1.255615

SOKO2SAP

Ro_ay

16

1.249214

SOKO2SAP

R_ayu

16

1.243872

SOKO2SAP

Rp_ayu

16

1.243872

SOKO2SAP

R_ay

16

1.243871

SOKO2SAP

Rp_ay

16

1.243870

SOKO2SAP

Rb_ayu

16

1.241871

SOKO2SAP

Rb_ay

16

1.241870

SOKO2SAP

Ry_ayu

6

1.241682

SOKO2SAP

Ry_ay

6

1.241417

SOKO2SAP

R_ayu

9

1.236708

SOKO2SAP

Rp_ayu

9

1.236708

SOKO2SAP

R_ay

9

1.236708

SOKO2SAP

Rp_ay

9

1.236708

SOKO2SAP

Rb_ayu

9

1.235285

SOKO2SAP

Rb_ay

9

1.235284

SOKO2SAP

tau_prigui_pre

1.195651

SOKO2SAP

Rb_ay

6

1.191622

SOKO2SAP

Rb_ayu

6

1.191621

SOKO2SAP

R_ay

6

1.190759

SOKO2SAP

Rp_ay

6

1.190759

SOKO2SAP

R_ayu

6

1.190759

SOKO2SAP

Rp_ayu

6

1.190759

SOKO2SAP

Rb_ayu

21

1.175557

SOKO2SAP

Rb_ay

21

1.175513

SOKO2SAP

R_ayu

21

1.173831

SOKO2SAP

Rp_ayu

21

1.173824

SOKO2SAP

R_ay

21

1.173782

SOKO2SAP

Rp_ay

21

1.173776

SOKO2SAP

Rb_ayu

19

1.165934

SOKO2SAP

Rb_ay

19

1.165920

SOKO2SAP

Ry_ayu

32

1.165197

SOKO2SAP

Ry_ay

32

1.165181

SOKO2SAP

R_ayu

19

1.164900

SOKO2SAP

Rp_ayu

19

1.164898

SOKO2SAP

R_ay

19

1.164886

SOKO2SAP

Rp_ay

19

1.164884

SOKO2SAP

Rb_ayu

2

1.157130

SOKO2SAP

Rb_ay

2

1.157129

SOKO2SAP

R_ayu

2

1.149254

SOKO2SAP

Rp_ayu

2

1.149254

SOKO2SAP

R_ay

2

1.149254

SOKO2SAP

Rp_ay

2

1.149254

SOKO2SAP

Ry_ayu

10

1.144131

SOKO2SAP

Ry_ay

10

1.143941

SOKO2SAP

Rb_ayu

24

1.143664

SOKO2SAP

Rb_ay

24

1.143663

SOKO2SAP

R_ayu

24

1.142439

SOKO2SAP

R_ay

24

1.142439

SOKO2SAP

Rp_ayu

24

1.142422

SOKO2SAP

Rp_ay

24

1.142422

SOKO2SAP

Rb_ay

4

1.140415

SOKO2SAP

Rb_ayu

4

1.140415

SOKO2SAP

R_ay

4

1.140405

SOKO2SAP

Rp_ay

4

1.140405

SOKO2SAP

Rp_ayu

4

1.140405

SOKO2SAP

R_ayu

4

1.140405

SOKO2SAP

R_ayu

3

1.135039

SOKO2SAP

Rp_ayu

3

1.135039

SOKO2SAP

R_ay

3

1.135038

SOKO2SAP

Rp_ay

3

1.135038

SOKO2SAP

Rb_ayu

3

1.132635

SOKO2SAP

Rb_ay

3

1.132634

SOKO2SAP

Ry_ayu

40

1.128683

SOKO2SAP

Ry_ay

40

1.128657

SOKO2SAP

Ry_ayu

9

1.126843

SOKO2SAP

Ry_ay

9

1.126379

SOKO2SAP

Ry_ayu

17

1.121549

SOKO2SAP

Ry_ay

17

1.121456

SOKO2SAP

R_ayu

17

1.121030

SOKO2SAP

Rp_ayu

17

1.121030

SOKO2SAP

R_ay

17

1.121028

SOKO2SAP

Rp_ay

17

1.121028

SOKO2SAP

Rb_ayu

17

1.120900

SOKO2SAP

Rb_ay

17

1.120898

SOKO2SAP

Ry_ayu

43

1.119531

SOKO2SAP

Ry_ay

43

1.119501

SOKO2SAP

Rb_ay

12

1.117876

SOKO2SAP

Rb_ayu

12

1.117876

SOKO2SAP

Ro_ayu

19

1.116901

SOKO2SAP

Rb_ayu

14

1.116828

SOKO2SAP

Rb_ay

14

1.116828

SOKO2SAP

R_ayu

14

1.116151

SOKO2SAP

Rp_ayu

14

1.116151

SOKO2SAP

R_ay

14

1.116151

SOKO2SAP

Rp_ay

14

1.116151

SOKO2SAP

R_ayu

11

1.110362

SOKO2SAP

Rp_ayu

11

1.110362

SOKO2SAP

Rp_ay

11

1.110356

SOKO2SAP

R_ay

11

1.110356

SSEI

beta2_pH

3

1.232050

SSEI

tau_prigui_pre

1.173427

SSEI

Ry_ayg

8

1.151944

SSEO

tau_prigui_pre

1.287649

SSEO

beta2_pH

3

1.243600

SSEO

Ry_ayu

46

1.217763

SSEO

Ry_ay

46

1.217763

SSEO

Rd_ayu

46

1.217750

SSEO

Rd_ay

46

1.217749

SSEO

R_ayu

46

1.217746

SSEO

R_ay

46

1.217745

SSEO

Rs_ayg

10

1.150116

SSEO

Ry_ayu

47

1.146459

SSEO

Ry_ay

47

1.146459

SSEO

Rd_ayu

47

1.146422

SSEO

Rd_ay

47

1.146422

SSEO

R_ayu

47

1.146381

SSEO

R_ay

47

1.146381

SSEO

Rs_ay

10

1.127920

SSEO

Rs_ayu

7

1.123103

WKMA

tau_prigui_pre

1.245081

WKMA

Ry_ayu

16

1.132407

WKMA

Ry_ayu

15

1.127051

afognak

tau_prigui_pre

1.281846

afognak

Rp_ayu

2

1.212559

afognak

Rb_ayu

2

1.207299

afognak

Ry_ayu

13

1.206822

afognak

R_ayu

2

1.204849

afognak

Ro_ayg

16

1.197903

afognak

Ry_ay

13

1.178703

afognak

Ho_ayg

16

1.172262

afognak

Ry_ayg

2

1.161520

afognak

Ho_ay

16

1.158672

afognak

Ro_ay

16

1.154185

afognak

Rp_ayu

8

1.134733

afognak

Rb_ayu

8

1.134228

afognak

R_ayu

8

1.129586

afognak

beta2_pH

1

1.124277

afognak

Ry_ay

12

1.114117

afognak

Ry_ayg

10

1.113987

eastside

Rb_ay

3

1.291083

eastside

Rp_ay

3

1.291079

eastside

Rp_ayu

3

1.291073

eastside

Rb_ayu

3

1.291073

eastside

Ro_ayu

4

1.281702

eastside

Rp_ayu

5

1.281695

eastside

Ro_ay

4

1.281530

eastside

R_ayu

4

1.281485

eastside

R_ay

4

1.281024

eastside

Rb_ayu

5

1.280755

eastside

Rp_ayu

9

1.273468

eastside

Rb_ayu

9

1.273354

eastside

Rb_ayu

2

1.271388

eastside

Rp_ayu

2

1.271127

eastside

Ro_ayu

6

1.269837

eastside

Ro_ay

6

1.269820

eastside

R_ayu

6

1.269752

eastside

R_ay

6

1.269715

eastside

Rp_ayu

4

1.264951

eastside

Rb_ayu

4

1.264484

eastside

Rp_ayu

14

1.261562

eastside

R_ay

3

1.261521

eastside

Rp_ay

5

1.261391

eastside

Rb_ayu

15

1.261311

eastside

R_ayu

3

1.261244

eastside

Ro_ayu

12

1.260884

eastside

Ro_ay

12

1.260351

eastside

R_ayu

12

1.260238

eastside

Rb_ay

5

1.259951

eastside

Rp_ayu

15

1.259729

eastside

Rb_ayu

14

1.259580

eastside

R_ay

12

1.259179

eastside

Ry_ayu

18

1.255743

eastside

R_ayu

5

1.254487

eastside

Ro_ayu

5

1.254137

eastside

R_ay

5

1.253989

eastside

Ro_ay

5

1.253790

eastside

Rp_ayu

12

1.251496

eastside

Ro_ayu

21

1.251424

eastside

R_ayu

21

1.251172

eastside

Ro_ay

21

1.250692

eastside

R_ay

21

1.248630

eastside

Rb_ayu

12

1.245817

eastside

Rb_ayu

6

1.239875

eastside

Rb_ayu

10

1.239271

eastside

Rp_ayu

6

1.238910

eastside

Rp_ayu

10

1.238708

eastside

Rb_ay

2

1.234981

eastside

Rp_ay

2

1.234594

eastside

Rp_ay

4

1.230503

eastside

Rb_ay

4

1.230367

eastside

Ho_ayu

27

1.229738

eastside

Ro_ayu

7

1.226185

eastside

R_ayu

7

1.225129

eastside

Ro_ay

7

1.224996

eastside

Rb_ayu

13

1.221863

eastside

Rp_ayu

13

1.221274

eastside

R_ay

7

1.221229

eastside

Rb_ayu

8

1.219804

eastside

Rb_ay

9

1.218054

eastside

Rp_ayu

8

1.216476

eastside

Rp_ay

9

1.214682

eastside

Ro_ayu

20

1.213116

eastside

Ry_ayu

2

1.212856

eastside

Ro_ay

20

1.209251

eastside

R_ayu

20

1.209057

eastside

Ry_ayu

3

1.207155

eastside

Rb_ay

14

1.206455

eastside

Rp_ay

14

1.206250

eastside

Ro_ayu

14

1.202764

eastside

Ro_ay

14

1.200868

eastside

R_ay

20

1.199703

eastside

Rp_ay

12

1.199689

eastside

Rb_ay

12

1.195862

eastside

Rb_ay

15

1.193648

eastside

Hy_ayu

46

1.188795

eastside

Rp_ay

15

1.187093

eastside

Rb_ay

10

1.186970

eastside

Rp_ayu

16

1.184772

eastside

Rb_ayu

16

1.184129

eastside

Rp_ay

10

1.182056

eastside

Rb_ay

6

1.180024

eastside

Rp_ay

6

1.179044

eastside

Rp_ayu

11

1.179023

eastside

Rb_ayu

11

1.177821

eastside

R_ayu

14

1.176679

eastside

Ry_ayu

13

1.175808

eastside

Ry_ayu

20

1.175774

eastside

Ro_ayu

3

1.170715

eastside

Ro_ay

3

1.169731

eastside

R_ay

14

1.168105

eastside

Ry_ayu

1

1.168084

eastside

Rp_ayg

2

1.157676

eastside

Ro_ayg

1

1.156115

eastside

Rb_ay

13

1.154095

eastside

Rb_ayg

2

1.152739

eastside

Rb_ayu

7

1.152143

eastside

Ro_ayu

23

1.151735

eastside

Rp_ayu

7

1.151640

eastside

Rp_ayu

18

1.151335

eastside

Ro_ay

23

1.151208

eastside

Ro_ayu

18

1.148995

eastside

R_ayu

18

1.148275

eastside

Rp_ay

13

1.148156

eastside

Ho_ayu

13

1.148114

eastside

Ro_ay

18

1.147218

eastside

R_ayu

23

1.146614

eastside

Rb_ayg

1

1.146258

eastside

R_ay

23

1.146183

eastside

R_ay

18

1.144140

eastside

Rb_ayu

18

1.142294

eastside

Rb_ay

7

1.140417

eastside

Rp_ay

7

1.140259

eastside

Rp_ayg

1

1.139988

eastside

Ry_ayu

47

1.136489

eastside

Ry_ayu

12

1.136356

eastside

Ho_ayu

35

1.135563

eastside

R_ayg

2

1.134869

eastside

Ro_ayg

7

1.134494

eastside

R_ayg

1

1.133377

eastside

Ho_ayu

46

1.133364

eastside

Rp_ayg

6

1.128357

eastside

Rb_ay

8

1.126376

eastside

tau_prigui_pre

1.124245

eastside

Rb_ayg

6

1.122087

eastside

Ro_ay

1

1.121713

eastside

Ro_ayu

1

1.121582

eastside

R_ay

1

1.121504

eastside

R_ayu

1

1.121416

eastside

Rp_ay

8

1.121217

eastside

Ry_ayu

30

1.120598

eastside

Ry_ayu

4

1.119340

eastside

Ry_ayu

27

1.117467

eastside

Rp_ayg

3

1.111136

eastside

Ro_ay

9

1.110654

eastside

Rb_ayg

3

1.110076

northeast

Ro_ay

1

1.290381

northeast

Ro_ayg

1

1.290332

northeast

Ro_ayu

1

1.289697

northeast

R_ayg

1

1.285237

northeast

R_ay

1

1.284964

northeast

Ro_ayu

6

1.282808

northeast

Ro_ay

6

1.276532

northeast

R_ayu

1

1.275240

northeast

Ro_ayg

6

1.258392

northeast

Ro_ayg

2

1.246486

northeast

Ro_ayg

3

1.235095

northeast

Ro_ay

3

1.232086

northeast

Ro_ayu

3

1.231020

northeast

Ro_ay

2

1.230450

northeast

R_ayu

6

1.214916

northeast

R_ay

6

1.168729

northeast

Ro_ayu

8

1.166295

northeast

Ro_ayu

9

1.151524

northeast

tau_prigui_pre

1.137693

northeast

Ro_ayu

10

1.137241

northeast

Ro_ayu

19

1.126518

northeast

Ro_ay

8

1.125546

northeast

Ro_ayu

7

1.116076

northeast

R_ayg

2

1.112811

northeast

Ro_ayu

15

1.112400

northeast

R_ayg

3

1.111635

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.151 0.071 -0.279 -0.153 -0.006
mu_bc_H[2] -0.110 0.043 -0.185 -0.112 -0.018
mu_bc_H[3] -0.447 0.072 -0.585 -0.449 -0.304
mu_bc_H[4] -1.181 0.236 -1.679 -1.172 -0.738
mu_bc_H[5] 0.823 0.969 -0.330 0.624 3.309
mu_bc_H[6] -2.156 0.340 -2.821 -2.160 -1.484
mu_bc_H[7] -0.489 0.113 -0.729 -0.484 -0.282
mu_bc_H[8] 0.279 0.364 -0.320 0.241 1.069
mu_bc_H[9] -0.369 0.151 -0.660 -0.371 -0.067
mu_bc_H[10] -0.134 0.066 -0.256 -0.136 0.004
mu_bc_H[11] -0.122 0.038 -0.196 -0.122 -0.044
mu_bc_H[12] -0.265 0.107 -0.496 -0.257 -0.065
mu_bc_H[13] -0.164 0.081 -0.314 -0.166 0.000
mu_bc_H[14] -0.345 0.110 -0.573 -0.344 -0.140
mu_bc_H[15] -0.344 0.050 -0.441 -0.345 -0.243
mu_bc_H[16] -0.238 0.388 -0.944 -0.250 0.604
mu_bc_R[1] 0.563 31.202 -61.729 0.509 61.066
mu_bc_R[2] 0.087 31.512 -63.730 -0.176 63.683
mu_bc_R[3] -0.329 31.264 -62.155 -0.820 62.285
mu_bc_R[4] 0.971 32.020 -61.647 0.770 61.298
mu_bc_R[5] 0.016 32.029 -65.682 0.455 63.296
mu_bc_R[6] 0.236 31.594 -62.401 -0.093 60.844
mu_bc_R[7] 0.626 31.368 -61.254 0.010 61.046
mu_bc_R[8] -0.700 32.355 -64.278 -0.643 62.592
mu_bc_R[9] 0.781 31.854 -63.204 0.915 62.579
mu_bc_R[10] 0.665 31.158 -59.878 -0.115 61.143
mu_bc_R[11] -0.324 31.885 -62.701 -0.468 62.020
mu_bc_R[12] -0.368 31.861 -61.788 -0.833 62.790
mu_bc_R[13] 0.245 32.313 -62.635 0.195 62.330
mu_bc_R[14] -0.537 31.298 -62.292 -0.512 61.654
mu_bc_R[15] 1.225 31.863 -61.168 1.965 64.235
mu_bc_R[16] -0.514 31.864 -62.134 -0.884 62.361
tau_pH[1] 6.344 0.544 5.314 6.328 7.474
tau_pH[2] 1.799 0.208 1.414 1.793 2.234
tau_pH[3] 2.081 0.236 1.642 2.066 2.557
beta0_pH[1,1] 0.208 0.286 -0.473 0.247 0.643
beta0_pH[2,1] 0.581 0.518 -0.594 0.706 1.314
beta0_pH[3,1] 0.776 0.634 -0.706 0.922 1.591
beta0_pH[4,1] 0.852 0.600 -0.584 0.990 1.645
beta0_pH[5,1] -1.263 0.474 -2.492 -1.159 -0.673
beta0_pH[6,1] -0.867 0.478 -2.059 -0.778 -0.177
beta0_pH[7,1] 0.748 0.089 0.575 0.747 0.923
beta0_pH[8,1] -0.735 0.408 -1.677 -0.659 -0.193
beta0_pH[9,1] -1.354 0.574 -2.807 -1.265 -0.521
beta0_pH[10,1] -0.203 0.328 -1.000 -0.146 0.280
beta0_pH[11,1] -0.130 0.183 -0.511 -0.121 0.214
beta0_pH[12,1] 0.404 0.181 0.033 0.408 0.742
beta0_pH[13,1] -0.191 0.153 -0.507 -0.184 0.090
beta0_pH[14,1] -0.395 0.159 -0.724 -0.388 -0.096
beta0_pH[15,1] -0.119 0.181 -0.503 -0.108 0.209
beta0_pH[16,1] -0.240 0.179 -0.622 -0.224 0.080
beta0_pH[1,2] 2.609 0.222 2.161 2.607 3.036
beta0_pH[2,2] 2.864 0.173 2.521 2.865 3.204
beta0_pH[3,2] 3.363 0.194 2.999 3.358 3.744
beta0_pH[4,2] 3.061 0.166 2.739 3.059 3.387
beta0_pH[5,2] 4.523 1.372 2.707 4.243 8.088
beta0_pH[6,2] 3.288 0.250 2.807 3.288 3.788
beta0_pH[7,2] 1.930 0.238 1.462 1.941 2.381
beta0_pH[8,2] 2.830 0.211 2.422 2.828 3.235
beta0_pH[9,2] 3.903 0.285 3.340 3.897 4.486
beta0_pH[10,2] 3.807 0.237 3.356 3.800 4.286
beta0_pH[11,2] 1.868 0.167 1.547 1.865 2.199
beta0_pH[12,2] 1.629 0.203 1.232 1.624 2.027
beta0_pH[13,2] 2.344 0.205 1.949 2.341 2.745
beta0_pH[14,2] 1.640 0.182 1.271 1.641 2.002
beta0_pH[15,2] 2.414 0.199 2.031 2.412 2.800
beta0_pH[16,2] 2.522 0.207 2.116 2.519 2.934
beta0_pH[1,3] 0.253 0.874 -2.030 0.424 1.297
beta0_pH[2,3] 2.079 0.187 1.702 2.081 2.441
beta0_pH[3,3] 2.623 0.171 2.287 2.622 2.960
beta0_pH[4,3] 3.000 0.184 2.651 3.000 3.371
beta0_pH[5,3] 3.333 1.829 0.962 2.923 7.890
beta0_pH[6,3] 1.214 0.394 0.493 1.191 2.036
beta0_pH[7,3] 0.560 0.205 0.175 0.552 0.980
beta0_pH[8,3] 0.268 0.197 -0.125 0.267 0.645
beta0_pH[9,3] -2.382 1.118 -4.456 -2.450 -0.320
beta0_pH[10,3] -0.763 0.924 -2.857 -0.678 0.740
beta0_pH[11,3] 1.032 0.398 0.187 1.050 1.784
beta0_pH[12,3] 0.786 0.448 -0.163 0.809 1.567
beta0_pH[13,3] 0.990 0.441 0.065 1.038 1.672
beta0_pH[14,3] 0.644 0.455 -0.394 0.686 1.427
beta0_pH[15,3] 0.822 0.405 -0.032 0.881 1.425
beta0_pH[16,3] 0.958 0.403 0.072 1.025 1.550
beta1_pH[1,1] 4.067 1.049 2.749 3.787 6.838
beta1_pH[2,1] 2.876 0.807 1.826 2.662 4.799
beta1_pH[3,1] 3.002 1.209 1.556 2.708 5.968
beta1_pH[4,1] 3.268 1.138 1.925 2.976 6.483
beta1_pH[5,1] 2.684 0.530 1.982 2.580 4.094
beta1_pH[6,1] 3.102 0.849 1.784 2.963 5.127
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 3.135 0.763 1.980 3.028 4.949
beta1_pH[9,1] 3.021 0.705 2.029 2.896 4.823
beta1_pH[10,1] 2.826 0.473 2.121 2.739 3.968
beta1_pH[11,1] 3.370 0.234 2.943 3.355 3.868
beta1_pH[12,1] 3.003 0.210 2.594 3.001 3.421
beta1_pH[13,1] 2.900 0.217 2.486 2.898 3.321
beta1_pH[14,1] 3.498 0.222 3.072 3.494 3.965
beta1_pH[15,1] 2.723 0.234 2.289 2.708 3.223
beta1_pH[16,1] 3.051 0.224 2.654 3.038 3.531
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 3.189 1.861 1.200 2.612 7.838
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 3.612 0.735 2.213 3.596 5.117
beta1_pH[9,3] 4.681 1.327 2.400 4.674 7.402
beta1_pH[10,3] 6.158 2.478 2.741 5.658 12.197
beta1_pH[11,3] 1.625 0.460 0.729 1.617 2.552
beta1_pH[12,3] 2.506 0.506 1.584 2.482 3.559
beta1_pH[13,3] 0.581 0.483 0.000 0.545 1.591
beta1_pH[14,3] 1.596 0.522 0.612 1.563 2.731
beta1_pH[15,3] 0.488 0.442 0.000 0.402 1.440
beta1_pH[16,3] 0.471 0.438 0.000 0.388 1.477
beta2_pH[1,1] 0.343 0.119 0.159 0.326 0.610
beta2_pH[2,1] 0.418 0.264 0.128 0.355 1.094
beta2_pH[3,1] 0.372 0.367 0.085 0.253 1.303
beta2_pH[4,1] 0.311 0.187 0.093 0.265 0.775
beta2_pH[5,1] 1.553 1.044 0.298 1.402 4.075
beta2_pH[6,1] 0.234 0.164 0.103 0.203 0.522
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 0.253 0.163 0.113 0.232 0.513
beta2_pH[9,1] 0.351 0.148 0.157 0.328 0.694
beta2_pH[10,1] 0.507 0.236 0.214 0.463 1.089
beta2_pH[11,1] 0.764 0.175 0.484 0.744 1.158
beta2_pH[12,1] 1.128 0.324 0.699 1.066 1.892
beta2_pH[13,1] 0.794 0.193 0.479 0.775 1.220
beta2_pH[14,1] 0.810 0.169 0.537 0.792 1.201
beta2_pH[15,1] 0.736 0.213 0.395 0.714 1.218
beta2_pH[16,1] 0.798 0.205 0.467 0.776 1.256
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 3.992 5.873 0.107 0.676 20.072
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 5.286 3.489 1.064 4.555 14.115
beta2_pH[9,3] 1.487 3.147 0.194 0.420 11.853
beta2_pH[10,3] 1.092 2.958 0.137 0.342 11.388
beta2_pH[11,3] -7.596 6.086 -23.115 -5.621 -0.799
beta2_pH[12,3] -7.857 6.208 -23.832 -5.613 -1.149
beta2_pH[13,3] -7.706 6.058 -23.223 -5.926 -0.545
beta2_pH[14,3] -7.750 6.042 -23.544 -5.637 -1.097
beta2_pH[15,3] -7.728 6.144 -23.245 -5.888 -0.446
beta2_pH[16,3] -7.657 6.096 -23.024 -5.840 -0.367
beta3_pH[1,1] 36.483 1.603 34.056 36.167 40.506
beta3_pH[2,1] 30.975 1.630 27.367 31.134 33.940
beta3_pH[3,1] 32.656 2.600 27.404 32.704 39.017
beta3_pH[4,1] 32.139 2.194 27.917 32.120 37.585
beta3_pH[5,1] 27.017 0.690 25.264 27.123 28.034
beta3_pH[6,1] 34.462 3.294 28.177 34.323 41.057
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 37.445 2.683 31.431 37.774 41.554
beta3_pH[9,1] 28.622 1.724 25.178 28.608 32.040
beta3_pH[10,1] 31.642 0.978 29.519 31.664 33.511
beta3_pH[11,1] 30.382 0.454 29.511 30.376 31.308
beta3_pH[12,1] 30.376 0.353 29.670 30.383 31.057
beta3_pH[13,1] 32.460 0.512 31.450 32.453 33.458
beta3_pH[14,1] 31.987 0.422 31.196 31.980 32.824
beta3_pH[15,1] 31.188 0.604 29.972 31.195 32.325
beta3_pH[16,1] 30.721 0.498 29.733 30.726 31.702
beta3_pH[1,2] 33.545 4.928 25.508 33.628 41.588
beta3_pH[2,2] 33.398 4.883 25.463 33.182 41.604
beta3_pH[3,2] 29.823 6.906 18.616 29.848 41.294
beta3_pH[4,2] 29.885 6.969 18.595 29.977 41.429
beta3_pH[5,2] 29.908 6.868 18.672 30.097 41.448
beta3_pH[6,2] 29.982 6.983 18.717 29.952 41.470
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 37.046 2.929 31.467 36.834 41.558
beta3_pH[2,3] 33.403 4.865 25.457 33.410 41.485
beta3_pH[3,3] 29.907 6.903 18.523 29.888 41.373
beta3_pH[4,3] 29.779 6.902 18.626 29.668 41.304
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 41.558 0.247 41.065 41.578 41.958
beta3_pH[9,3] 30.757 1.824 28.139 30.436 34.020
beta3_pH[10,3] 36.248 2.059 32.765 36.019 41.152
beta3_pH[11,3] 40.320 1.046 38.636 40.319 42.201
beta3_pH[12,3] 40.945 0.608 39.619 41.033 41.902
beta3_pH[13,3] 40.226 3.152 30.590 41.382 42.904
beta3_pH[14,3] 40.537 0.865 39.018 40.606 41.891
beta3_pH[15,3] 39.587 3.213 30.404 40.726 42.846
beta3_pH[16,3] 39.315 3.450 29.971 40.482 42.851
beta4_pH[1,1] 0.695 0.286 0.310 0.650 1.288
beta4_pH[2,1] 0.851 0.213 0.543 0.817 1.261
beta4_pH[3,1] 0.925 0.280 0.513 0.879 1.475
beta4_pH[4,1] 0.804 0.266 0.432 0.756 1.348
beta4_pH[5,1] 0.672 0.525 0.088 0.549 1.967
beta4_pH[6,1] 1.993 1.749 0.232 1.414 6.689
beta4_pH[7,1] 1.119 0.613 0.351 0.975 2.485
beta4_pH[8,1] 0.754 0.417 0.228 0.672 1.694
beta4_pH[9,1] 0.922 0.541 0.268 0.786 2.188
beta4_pH[10,1] 0.728 0.279 0.343 0.690 1.287
beta4_pH[11,1] 0.692 0.242 0.351 0.649 1.181
beta4_pH[12,1] 0.920 0.374 0.435 0.826 1.723
beta4_pH[13,1] 0.746 0.267 0.380 0.696 1.293
beta4_pH[14,1] 1.032 0.337 0.562 0.969 1.702
beta4_pH[15,1] 0.932 0.264 0.543 0.892 1.446
beta4_pH[16,1] 0.887 0.358 0.417 0.811 1.649
beta4_pH[1,2] 0.691 0.287 0.305 0.637 1.281
beta4_pH[2,2] 0.848 0.210 0.546 0.818 1.258
beta4_pH[3,2] 0.911 0.283 0.514 0.867 1.477
beta4_pH[4,2] 0.801 0.267 0.431 0.766 1.341
beta4_pH[5,2] 0.671 0.520 0.087 0.544 1.941
beta4_pH[6,2] 1.970 1.752 0.232 1.377 6.761
beta4_pH[7,2] 1.099 0.616 0.347 0.941 2.490
beta4_pH[8,2] 0.770 0.429 0.229 0.674 1.723
beta4_pH[9,2] 0.917 0.537 0.275 0.789 2.175
beta4_pH[10,2] 0.717 0.278 0.343 0.669 1.287
beta4_pH[11,2] 0.692 0.246 0.351 0.649 1.188
beta4_pH[12,2] 0.933 0.378 0.437 0.850 1.728
beta4_pH[13,2] 0.748 0.267 0.381 0.705 1.292
beta4_pH[14,2] 1.021 0.336 0.559 0.956 1.693
beta4_pH[15,2] 0.919 0.265 0.534 0.877 1.441
beta4_pH[16,2] 0.908 0.358 0.422 0.830 1.644
beta4_pH[1,3] 0.687 0.283 0.308 0.642 1.285
beta4_pH[2,3] 0.850 0.211 0.548 0.821 1.253
beta4_pH[3,3] 0.918 0.280 0.513 0.876 1.484
beta4_pH[4,3] 0.816 0.266 0.431 0.780 1.340
beta4_pH[5,3] 0.685 0.527 0.085 0.558 1.976
beta4_pH[6,3] 1.928 1.732 0.234 1.354 6.743
beta4_pH[7,3] 1.090 0.605 0.348 0.939 2.466
beta4_pH[8,3] 0.747 0.423 0.225 0.658 1.714
beta4_pH[9,3] 0.906 0.532 0.271 0.774 2.177
beta4_pH[10,3] 0.723 0.274 0.351 0.676 1.281
beta4_pH[11,3] 0.692 0.240 0.352 0.654 1.188
beta4_pH[12,3] 0.922 0.376 0.439 0.830 1.736
beta4_pH[13,3] 0.747 0.269 0.379 0.701 1.295
beta4_pH[14,3] 1.037 0.344 0.560 0.971 1.705
beta4_pH[15,3] 0.910 0.263 0.537 0.874 1.441
beta4_pH[16,3] 0.899 0.354 0.423 0.832 1.654
beta4_pH[1,4] 0.689 0.286 0.306 0.649 1.282
beta4_pH[2,4] 0.850 0.211 0.545 0.823 1.259
beta4_pH[3,4] 0.911 0.286 0.516 0.858 1.477
beta4_pH[4,4] 0.801 0.264 0.436 0.758 1.340
beta4_pH[5,4] 0.686 0.527 0.086 0.561 1.979
beta4_pH[6,4] 1.900 1.740 0.225 1.315 6.657
beta4_pH[7,4] 1.097 0.607 0.351 0.951 2.491
beta4_pH[8,4] 0.769 0.429 0.225 0.684 1.708
beta4_pH[9,4] 0.921 0.539 0.277 0.776 2.182
beta4_pH[10,4] 0.724 0.274 0.349 0.682 1.290
beta4_pH[11,4] 0.692 0.243 0.352 0.653 1.181
beta4_pH[12,4] 0.928 0.374 0.443 0.837 1.723
beta4_pH[13,4] 0.755 0.264 0.379 0.715 1.290
beta4_pH[14,4] 1.029 0.334 0.561 0.974 1.695
beta4_pH[15,4] 0.906 0.261 0.536 0.866 1.433
beta4_pH[16,4] 0.908 0.355 0.423 0.835 1.638
beta4_pH[1,5] 0.695 0.282 0.305 0.658 1.279
beta4_pH[2,5] 0.852 0.216 0.543 0.820 1.266
beta4_pH[3,5] 0.914 0.283 0.515 0.866 1.483
beta4_pH[4,5] 0.802 0.264 0.430 0.753 1.344
beta4_pH[5,5] 0.661 0.510 0.088 0.533 1.921
beta4_pH[6,5] 1.935 1.771 0.228 1.342 6.800
beta4_pH[7,5] 1.120 0.620 0.349 0.970 2.506
beta4_pH[8,5] 0.757 0.419 0.226 0.665 1.706
beta4_pH[9,5] 0.910 0.540 0.272 0.767 2.188
beta4_pH[10,5] 0.725 0.278 0.349 0.675 1.289
beta4_pH[11,5] 0.683 0.245 0.350 0.640 1.185
beta4_pH[12,5] 0.928 0.373 0.437 0.845 1.721
beta4_pH[13,5] 0.744 0.263 0.380 0.696 1.288
beta4_pH[14,5] 1.021 0.331 0.561 0.959 1.699
beta4_pH[15,5] 0.918 0.266 0.537 0.880 1.442
beta4_pH[16,5] 0.890 0.361 0.422 0.808 1.651
beta4_pH[1,6] 0.693 0.282 0.306 0.652 1.278
beta4_pH[2,6] 0.847 0.212 0.544 0.819 1.259
beta4_pH[3,6] 0.902 0.278 0.517 0.855 1.461
beta4_pH[4,6] 0.805 0.264 0.429 0.773 1.349
beta4_pH[5,6] 0.673 0.513 0.087 0.565 1.980
beta4_pH[6,6] 1.938 1.731 0.232 1.360 6.543
beta4_pH[7,6] 1.120 0.608 0.348 0.975 2.468
beta4_pH[8,6] 0.755 0.428 0.226 0.658 1.727
beta4_pH[9,6] 0.921 0.537 0.276 0.789 2.180
beta4_pH[10,6] 0.722 0.273 0.347 0.683 1.294
beta4_pH[11,6] 0.692 0.244 0.354 0.651 1.193
beta4_pH[12,6] 0.934 0.377 0.442 0.836 1.733
beta4_pH[13,6] 0.739 0.263 0.379 0.688 1.282
beta4_pH[14,6] 1.030 0.333 0.562 0.982 1.696
beta4_pH[15,6] 0.923 0.270 0.538 0.878 1.448
beta4_pH[16,6] 0.896 0.354 0.421 0.824 1.663
beta4_pH[1,7] 0.686 0.288 0.306 0.636 1.281
beta4_pH[2,7] 0.849 0.212 0.544 0.823 1.258
beta4_pH[3,7] 0.911 0.278 0.515 0.870 1.472
beta4_pH[4,7] 0.806 0.266 0.433 0.762 1.341
beta4_pH[5,7] 0.658 0.505 0.085 0.540 1.936
beta4_pH[6,7] 1.928 1.691 0.234 1.376 6.519
beta4_pH[7,7] 1.105 0.618 0.344 0.955 2.503
beta4_pH[8,7] 0.761 0.427 0.226 0.664 1.718
beta4_pH[9,7] 0.921 0.535 0.277 0.781 2.177
beta4_pH[10,7] 0.723 0.273 0.345 0.686 1.277
beta4_pH[11,7] 0.690 0.245 0.350 0.647 1.195
beta4_pH[12,7] 0.925 0.372 0.443 0.836 1.723
beta4_pH[13,7] 0.758 0.268 0.382 0.711 1.292
beta4_pH[14,7] 1.026 0.334 0.564 0.967 1.703
beta4_pH[15,7] 0.916 0.268 0.535 0.877 1.442
beta4_pH[16,7] 0.900 0.359 0.421 0.831 1.659
beta4_pH[1,8] 0.686 0.280 0.303 0.641 1.271
beta4_pH[2,8] 0.852 0.213 0.543 0.818 1.258
beta4_pH[3,8] 0.902 0.279 0.512 0.858 1.461
beta4_pH[4,8] 0.811 0.267 0.431 0.771 1.343
beta4_pH[5,8] 0.674 0.511 0.087 0.554 1.967
beta4_pH[6,8] 1.998 1.752 0.232 1.419 6.675
beta4_pH[7,8] 1.088 0.605 0.353 0.948 2.494
beta4_pH[8,8] 0.753 0.422 0.228 0.669 1.694
beta4_pH[9,8] 0.895 0.526 0.274 0.767 2.166
beta4_pH[10,8] 0.721 0.276 0.343 0.677 1.293
beta4_pH[11,8] 0.695 0.247 0.352 0.648 1.194
beta4_pH[12,8] 0.929 0.379 0.439 0.837 1.724
beta4_pH[13,8] 0.749 0.266 0.381 0.707 1.289
beta4_pH[14,8] 1.018 0.329 0.561 0.956 1.686
beta4_pH[15,8] 0.922 0.268 0.537 0.883 1.444
beta4_pH[16,8] 0.902 0.356 0.420 0.830 1.662
beta4_pH[1,9] 0.682 0.282 0.305 0.635 1.279
beta4_pH[2,9] 0.849 0.212 0.545 0.821 1.261
beta4_pH[3,9] 0.914 0.283 0.516 0.862 1.475
beta4_pH[4,9] 0.808 0.268 0.433 0.769 1.342
beta4_pH[5,9] 0.674 0.519 0.087 0.560 1.938
beta4_pH[6,9] 1.943 1.753 0.234 1.344 6.708
beta4_pH[7,9] 1.105 0.606 0.346 0.964 2.485
beta4_pH[8,9] 0.764 0.432 0.227 0.669 1.739
beta4_pH[9,9] 0.933 0.547 0.277 0.787 2.174
beta4_pH[10,9] 0.726 0.275 0.346 0.684 1.287
beta4_pH[11,9] 0.687 0.239 0.354 0.645 1.173
beta4_pH[12,9] 0.924 0.377 0.436 0.832 1.737
beta4_pH[13,9] 0.746 0.264 0.381 0.700 1.286
beta4_pH[14,9] 1.026 0.334 0.558 0.966 1.695
beta4_pH[15,9] 0.921 0.264 0.537 0.883 1.438
beta4_pH[16,9] 0.890 0.353 0.419 0.824 1.636
beta4_pH[1,10] 0.687 0.285 0.307 0.640 1.283
beta4_pH[2,10] 0.850 0.210 0.546 0.821 1.264
beta4_pH[3,10] 0.912 0.282 0.515 0.863 1.473
beta4_pH[4,10] 0.801 0.267 0.431 0.758 1.343
beta4_pH[5,10] 0.673 0.525 0.087 0.548 1.971
beta4_pH[6,10] 1.892 1.733 0.229 1.312 6.738
beta4_pH[7,10] 1.099 0.601 0.347 0.968 2.469
beta4_pH[8,10] 0.755 0.424 0.224 0.671 1.707
beta4_pH[9,10] 0.916 0.535 0.279 0.777 2.169
beta4_pH[10,10] 0.727 0.281 0.343 0.676 1.295
beta4_pH[11,10] 0.696 0.247 0.354 0.651 1.193
beta4_pH[12,10] 0.929 0.376 0.438 0.834 1.729
beta4_pH[13,10] 0.746 0.270 0.382 0.695 1.301
beta4_pH[14,10] 1.032 0.331 0.565 0.978 1.691
beta4_pH[15,10] 0.919 0.267 0.539 0.878 1.438
beta4_pH[16,10] 0.894 0.357 0.424 0.819 1.660
beta4_pH[1,11] 0.692 0.282 0.305 0.650 1.275
beta4_pH[2,11] 0.848 0.209 0.544 0.819 1.261
beta4_pH[3,11] 0.913 0.281 0.520 0.867 1.477
beta4_pH[4,11] 0.802 0.264 0.433 0.765 1.333
beta4_pH[5,11] 0.659 0.512 0.088 0.530 1.944
beta4_pH[6,11] 1.915 1.717 0.228 1.362 6.564
beta4_pH[7,11] 1.108 0.618 0.346 0.952 2.493
beta4_pH[8,11] 0.768 0.429 0.228 0.691 1.734
beta4_pH[9,11] 0.917 0.541 0.274 0.770 2.176
beta4_pH[10,11] 0.725 0.277 0.346 0.681 1.297
beta4_pH[11,11] 0.689 0.245 0.351 0.648 1.188
beta4_pH[12,11] 0.933 0.382 0.435 0.835 1.730
beta4_pH[13,11] 0.750 0.268 0.377 0.702 1.290
beta4_pH[14,11] 1.019 0.325 0.561 0.962 1.675
beta4_pH[15,11] 0.928 0.269 0.541 0.890 1.445
beta4_pH[16,11] 0.896 0.361 0.421 0.813 1.664
beta4_pH[1,12] 0.691 0.284 0.309 0.644 1.279
beta4_pH[2,12] 0.851 0.211 0.547 0.820 1.257
beta4_pH[3,12] 0.917 0.280 0.516 0.867 1.478
beta4_pH[4,12] 0.815 0.266 0.435 0.778 1.347
beta4_pH[5,12] 0.656 0.516 0.086 0.518 1.944
beta4_pH[6,12] 1.940 1.737 0.234 1.374 6.749
beta4_pH[7,12] 1.104 0.618 0.351 0.949 2.519
beta4_pH[8,12] 0.750 0.414 0.229 0.665 1.697
beta4_pH[9,12] 0.912 0.529 0.275 0.781 2.160
beta4_pH[10,12] 0.724 0.272 0.345 0.686 1.284
beta4_pH[11,12] 0.697 0.247 0.354 0.649 1.192
beta4_pH[12,12] 0.936 0.378 0.438 0.845 1.745
beta4_pH[13,12] 0.748 0.266 0.380 0.699 1.291
beta4_pH[14,12] 1.023 0.333 0.562 0.964 1.702
beta4_pH[15,12] 0.912 0.263 0.539 0.870 1.438
beta4_pH[16,12] 0.885 0.352 0.422 0.807 1.649
beta4_pH[1,13] 0.692 0.286 0.304 0.646 1.287
beta4_pH[2,13] 0.847 0.211 0.544 0.816 1.263
beta4_pH[3,13] 0.911 0.282 0.511 0.863 1.476
beta4_pH[4,13] 0.803 0.265 0.427 0.763 1.338
beta4_pH[5,13] 0.665 0.509 0.086 0.538 1.953
beta4_pH[6,13] 1.941 1.760 0.225 1.348 6.684
beta4_pH[7,13] 1.085 0.603 0.346 0.946 2.481
beta4_pH[8,13] 0.765 0.430 0.228 0.675 1.733
beta4_pH[9,13] 0.910 0.530 0.274 0.779 2.174
beta4_pH[10,13] 0.718 0.275 0.348 0.675 1.287
beta4_pH[11,13] 0.685 0.244 0.352 0.642 1.185
beta4_pH[12,13] 0.932 0.378 0.434 0.853 1.726
beta4_pH[13,13] 0.747 0.268 0.380 0.695 1.296
beta4_pH[14,13] 1.023 0.338 0.563 0.965 1.695
beta4_pH[15,13] 0.916 0.266 0.539 0.874 1.444
beta4_pH[16,13] 0.900 0.356 0.421 0.821 1.649
beta4_pH[1,14] 0.691 0.283 0.304 0.647 1.284
beta4_pH[2,14] 0.854 0.213 0.544 0.823 1.265
beta4_pH[3,14] 0.911 0.282 0.512 0.867 1.474
beta4_pH[4,14] 0.806 0.269 0.431 0.768 1.345
beta4_pH[5,14] 0.654 0.505 0.085 0.532 1.960
beta4_pH[6,14] 1.954 1.754 0.235 1.369 6.660
beta4_pH[7,14] 1.101 0.601 0.354 0.967 2.448
beta4_pH[8,14] 0.771 0.424 0.228 0.684 1.739
beta4_pH[9,14] 0.930 0.542 0.276 0.781 2.184
beta4_pH[10,14] 0.730 0.273 0.346 0.687 1.292
beta4_pH[11,14] 0.690 0.248 0.352 0.648 1.201
beta4_pH[12,14] 0.925 0.373 0.441 0.826 1.734
beta4_pH[13,14] 0.749 0.265 0.381 0.701 1.290
beta4_pH[14,14] 1.038 0.338 0.560 0.974 1.700
beta4_pH[15,14] 0.914 0.266 0.540 0.873 1.440
beta4_pH[16,14] 0.901 0.358 0.425 0.825 1.665
beta4_pH[1,15] 0.691 0.283 0.307 0.653 1.288
beta4_pH[2,15] 0.849 0.210 0.548 0.817 1.263
beta4_pH[3,15] 0.904 0.276 0.512 0.865 1.460
beta4_pH[4,15] 0.808 0.268 0.429 0.776 1.342
beta4_pH[5,15] 0.688 0.516 0.087 0.583 1.955
beta4_pH[6,15] 1.935 1.766 0.230 1.330 6.658
beta4_pH[7,15] 1.093 0.616 0.348 0.950 2.476
beta4_pH[8,15] 0.760 0.425 0.230 0.678 1.732
beta4_pH[9,15] 0.922 0.540 0.280 0.780 2.187
beta4_pH[10,15] 0.727 0.275 0.346 0.684 1.290
beta4_pH[11,15] 0.694 0.244 0.351 0.652 1.189
beta4_pH[12,15] 0.923 0.371 0.439 0.837 1.719
beta4_pH[13,15] 0.744 0.265 0.380 0.694 1.290
beta4_pH[14,15] 1.020 0.331 0.560 0.966 1.693
beta4_pH[15,15] 0.916 0.265 0.540 0.879 1.438
beta4_pH[16,15] 0.900 0.356 0.419 0.829 1.662
beta4_pH[1,16] 0.690 0.285 0.307 0.648 1.275
beta4_pH[2,16] 0.848 0.214 0.544 0.813 1.261
beta4_pH[3,16] 0.907 0.278 0.514 0.866 1.467
beta4_pH[4,16] 0.814 0.267 0.433 0.781 1.344
beta4_pH[5,16] 0.673 0.515 0.088 0.548 1.963
beta4_pH[6,16] 1.944 1.743 0.228 1.359 6.625
beta4_pH[7,16] 1.099 0.612 0.346 0.945 2.485
beta4_pH[8,16] 0.756 0.421 0.226 0.670 1.719
beta4_pH[9,16] 0.912 0.535 0.277 0.770 2.162
beta4_pH[10,16] 0.720 0.276 0.345 0.678 1.281
beta4_pH[11,16] 0.692 0.246 0.352 0.649 1.187
beta4_pH[12,16] 0.923 0.371 0.440 0.837 1.728
beta4_pH[13,16] 0.751 0.272 0.380 0.700 1.292
beta4_pH[14,16] 1.027 0.331 0.564 0.973 1.703
beta4_pH[15,16] 0.915 0.267 0.539 0.867 1.444
beta4_pH[16,16] 0.902 0.357 0.422 0.818 1.651
beta4_pH[1,17] 0.701 0.290 0.305 0.661 1.292
beta4_pH[2,17] 0.849 0.212 0.544 0.819 1.257
beta4_pH[3,17] 0.910 0.280 0.514 0.868 1.468
beta4_pH[4,17] 0.796 0.267 0.430 0.757 1.342
beta4_pH[5,17] 0.688 0.524 0.086 0.561 1.949
beta4_pH[6,17] 1.958 1.751 0.235 1.359 6.729
beta4_pH[7,17] 1.105 0.612 0.351 0.954 2.506
beta4_pH[8,17] 0.769 0.432 0.227 0.683 1.734
beta4_pH[9,17] 0.917 0.537 0.276 0.776 2.201
beta4_pH[10,17] 0.729 0.278 0.348 0.680 1.296
beta4_pH[11,17] 0.697 0.246 0.354 0.652 1.203
beta4_pH[12,17] 0.928 0.376 0.441 0.840 1.736
beta4_pH[13,17] 0.744 0.266 0.377 0.699 1.289
beta4_pH[14,17] 1.034 0.338 0.563 0.976 1.698
beta4_pH[15,17] 0.919 0.264 0.538 0.876 1.437
beta4_pH[16,17] 0.896 0.355 0.423 0.824 1.651
beta4_pH[1,18] 0.684 0.281 0.304 0.647 1.275
beta4_pH[2,18] 0.845 0.213 0.543 0.813 1.265
beta4_pH[3,18] 0.912 0.276 0.515 0.876 1.473
beta4_pH[4,18] 0.804 0.267 0.430 0.769 1.336
beta4_pH[5,18] 0.671 0.516 0.086 0.551 1.964
beta4_pH[6,18] 1.942 1.741 0.229 1.374 6.701
beta4_pH[7,18] 1.088 0.607 0.344 0.948 2.482
beta4_pH[8,18] 0.763 0.427 0.225 0.680 1.710
beta4_pH[9,18] 0.925 0.540 0.277 0.780 2.186
beta4_pH[10,18] 0.733 0.281 0.345 0.684 1.303
beta4_pH[11,18] 0.689 0.243 0.351 0.648 1.182
beta4_pH[12,18] 0.924 0.382 0.438 0.827 1.746
beta4_pH[13,18] 0.755 0.267 0.385 0.713 1.289
beta4_pH[14,18] 1.033 0.340 0.562 0.975 1.703
beta4_pH[15,18] 0.915 0.265 0.536 0.882 1.436
beta4_pH[16,18] 0.888 0.352 0.425 0.807 1.653
beta4_pH[1,19] 0.702 0.290 0.307 0.658 1.284
beta4_pH[2,19] 0.846 0.213 0.545 0.816 1.262
beta4_pH[3,19] 0.916 0.282 0.513 0.876 1.478
beta4_pH[4,19] 0.804 0.270 0.429 0.766 1.347
beta4_pH[5,19] 0.660 0.520 0.086 0.527 1.948
beta4_pH[6,19] 1.953 1.720 0.236 1.375 6.588
beta4_pH[7,19] 1.089 0.591 0.349 0.960 2.469
beta4_pH[8,19] 0.760 0.427 0.227 0.673 1.728
beta4_pH[9,19] 0.932 0.541 0.279 0.793 2.178
beta4_pH[10,19] 0.735 0.272 0.349 0.696 1.284
beta4_pH[11,19] 0.682 0.240 0.351 0.640 1.180
beta4_pH[12,19] 0.925 0.375 0.436 0.835 1.721
beta4_pH[13,19] 0.742 0.266 0.379 0.694 1.286
beta4_pH[14,19] 1.021 0.329 0.561 0.958 1.695
beta4_pH[15,19] 0.917 0.269 0.537 0.875 1.447
beta4_pH[16,19] 0.898 0.354 0.421 0.820 1.628
beta4_pH[1,20] 0.696 0.283 0.310 0.654 1.282
beta4_pH[2,20] 0.848 0.206 0.544 0.821 1.245
beta4_pH[3,20] 0.896 0.276 0.514 0.850 1.471
beta4_pH[4,20] 0.805 0.264 0.436 0.767 1.341
beta4_pH[5,20] 0.658 0.516 0.089 0.531 1.953
beta4_pH[6,20] 2.015 1.797 0.229 1.409 6.747
beta4_pH[7,20] 1.109 0.605 0.350 0.967 2.493
beta4_pH[8,20] 0.775 0.428 0.231 0.693 1.736
beta4_pH[9,20] 0.921 0.538 0.275 0.780 2.176
beta4_pH[10,20] 0.719 0.277 0.346 0.673 1.284
beta4_pH[11,20] 0.679 0.242 0.352 0.640 1.186
beta4_pH[12,20] 0.924 0.368 0.440 0.834 1.727
beta4_pH[13,20] 0.750 0.273 0.379 0.695 1.303
beta4_pH[14,20] 1.033 0.331 0.565 0.975 1.693
beta4_pH[15,20] 0.917 0.266 0.540 0.869 1.444
beta4_pH[16,20] 0.895 0.355 0.423 0.818 1.648
beta4_pH[1,21] 0.699 0.283 0.308 0.665 1.281
beta4_pH[2,21] 0.848 0.208 0.546 0.821 1.256
beta4_pH[3,21] 0.909 0.281 0.513 0.865 1.467
beta4_pH[4,21] 0.803 0.269 0.432 0.763 1.343
beta4_pH[5,21] 0.666 0.520 0.089 0.538 1.963
beta4_pH[6,21] 1.896 1.694 0.227 1.347 6.545
beta4_pH[7,21] 1.099 0.620 0.348 0.948 2.510
beta4_pH[8,21] 0.762 0.429 0.224 0.676 1.724
beta4_pH[9,21] 0.923 0.543 0.274 0.785 2.194
beta4_pH[10,21] 0.722 0.276 0.343 0.680 1.289
beta4_pH[11,21] 0.684 0.242 0.352 0.641 1.188
beta4_pH[12,21] 0.916 0.375 0.437 0.822 1.728
beta4_pH[13,21] 0.753 0.269 0.380 0.709 1.295
beta4_pH[14,21] 1.029 0.334 0.564 0.967 1.690
beta4_pH[15,21] 0.921 0.266 0.540 0.881 1.443
beta4_pH[16,21] 0.897 0.356 0.418 0.823 1.644
beta4_pH[1,22] 0.694 0.281 0.306 0.658 1.286
beta4_pH[2,22] 0.850 0.216 0.541 0.815 1.255
beta4_pH[3,22] 0.910 0.279 0.516 0.866 1.476
beta4_pH[4,22] 0.806 0.271 0.429 0.769 1.339
beta4_pH[5,22] 0.662 0.510 0.088 0.552 1.963
beta4_pH[6,22] 1.937 1.749 0.235 1.335 6.750
beta4_pH[7,22] 1.104 0.611 0.350 0.960 2.485
beta4_pH[8,22] 0.760 0.433 0.227 0.671 1.740
beta4_pH[9,22] 0.939 0.553 0.277 0.795 2.216
beta4_pH[10,22] 0.724 0.276 0.345 0.678 1.290
beta4_pH[11,22] 0.694 0.247 0.351 0.648 1.198
beta4_pH[12,22] 0.918 0.371 0.437 0.825 1.722
beta4_pH[13,22] 0.751 0.266 0.379 0.710 1.289
beta4_pH[14,22] 1.020 0.329 0.561 0.961 1.698
beta4_pH[15,22] 0.922 0.265 0.540 0.885 1.442
beta4_pH[16,22] 0.898 0.359 0.420 0.825 1.649
beta4_pH[1,23] 0.694 0.285 0.306 0.650 1.285
beta4_pH[2,23] 0.847 0.211 0.544 0.813 1.258
beta4_pH[3,23] 0.902 0.281 0.511 0.857 1.469
beta4_pH[4,23] 0.805 0.265 0.431 0.770 1.340
beta4_pH[5,23] 0.646 0.511 0.085 0.508 1.935
beta4_pH[6,23] 1.893 1.676 0.231 1.349 6.555
beta4_pH[7,23] 1.101 0.604 0.347 0.953 2.482
beta4_pH[8,23] 0.763 0.427 0.228 0.668 1.713
beta4_pH[9,23] 0.914 0.534 0.276 0.781 2.176
beta4_pH[10,23] 0.714 0.271 0.344 0.667 1.291
beta4_pH[11,23] 0.690 0.247 0.350 0.646 1.196
beta4_pH[12,23] 0.937 0.376 0.438 0.850 1.730
beta4_pH[13,23] 0.746 0.267 0.381 0.695 1.282
beta4_pH[14,23] 1.026 0.338 0.566 0.964 1.707
beta4_pH[15,23] 0.913 0.267 0.538 0.874 1.448
beta4_pH[16,23] 0.904 0.359 0.418 0.827 1.654
beta4_pH[1,24] 0.690 0.276 0.310 0.649 1.274
beta4_pH[2,24] 0.844 0.211 0.544 0.806 1.254
beta4_pH[3,24] 0.905 0.278 0.513 0.870 1.472
beta4_pH[4,24] 0.811 0.268 0.432 0.770 1.339
beta4_pH[5,24] 0.673 0.517 0.089 0.555 1.976
beta4_pH[6,24] 1.935 1.752 0.236 1.368 6.777
beta4_pH[7,24] 1.097 0.609 0.350 0.957 2.493
beta4_pH[8,24] 0.769 0.431 0.226 0.678 1.729
beta4_pH[9,24] 0.922 0.533 0.276 0.783 2.145
beta4_pH[10,24] 0.724 0.274 0.345 0.682 1.290
beta4_pH[11,24] 0.684 0.243 0.353 0.646 1.185
beta4_pH[12,24] 0.934 0.372 0.441 0.845 1.727
beta4_pH[13,24] 0.747 0.268 0.380 0.696 1.289
beta4_pH[14,24] 1.021 0.334 0.560 0.958 1.704
beta4_pH[15,24] 0.914 0.264 0.537 0.872 1.439
beta4_pH[16,24] 0.903 0.358 0.420 0.831 1.652
beta4_pH[1,25] 0.685 0.285 0.305 0.639 1.286
beta4_pH[2,25] 0.846 0.213 0.541 0.815 1.263
beta4_pH[3,25] 0.913 0.284 0.512 0.869 1.467
beta4_pH[4,25] 0.815 0.265 0.429 0.777 1.335
beta4_pH[5,25] 0.642 0.495 0.085 0.525 1.908
beta4_pH[6,25] 1.926 1.720 0.237 1.380 6.676
beta4_pH[7,25] 1.102 0.606 0.350 0.959 2.475
beta4_pH[8,25] 0.772 0.426 0.227 0.690 1.721
beta4_pH[9,25] 0.922 0.534 0.277 0.786 2.155
beta4_pH[10,25] 0.730 0.275 0.346 0.688 1.282
beta4_pH[11,25] 0.690 0.248 0.351 0.646 1.195
beta4_pH[12,25] 0.929 0.377 0.435 0.834 1.740
beta4_pH[13,25] 0.746 0.264 0.379 0.699 1.290
beta4_pH[14,25] 1.029 0.336 0.564 0.970 1.706
beta4_pH[15,25] 0.915 0.265 0.538 0.878 1.432
beta4_pH[16,25] 0.892 0.353 0.420 0.813 1.633
beta4_pH[1,26] 0.692 0.288 0.305 0.658 1.295
beta4_pH[2,26] 0.849 0.214 0.544 0.817 1.263
beta4_pH[3,26] 0.919 0.280 0.514 0.880 1.478
beta4_pH[4,26] 0.811 0.268 0.430 0.782 1.335
beta4_pH[5,26] 0.675 0.526 0.086 0.540 1.976
beta4_pH[6,26] 1.931 1.709 0.231 1.366 6.588
beta4_pH[7,26] 1.101 0.603 0.346 0.968 2.489
beta4_pH[8,26] 0.763 0.426 0.226 0.680 1.719
beta4_pH[9,26] 0.913 0.531 0.274 0.775 2.166
beta4_pH[10,26] 0.728 0.277 0.347 0.686 1.292
beta4_pH[11,26] 0.693 0.244 0.351 0.647 1.191
beta4_pH[12,26] 0.917 0.374 0.437 0.822 1.727
beta4_pH[13,26] 0.746 0.262 0.382 0.698 1.288
beta4_pH[14,26] 1.030 0.331 0.561 0.979 1.694
beta4_pH[15,26] 0.923 0.266 0.536 0.881 1.447
beta4_pH[16,26] 0.898 0.358 0.420 0.822 1.640
beta4_pH[1,27] 0.696 0.285 0.304 0.660 1.287
beta4_pH[2,27] 0.848 0.214 0.541 0.818 1.259
beta4_pH[3,27] 0.915 0.284 0.517 0.870 1.480
beta4_pH[4,27] 0.815 0.265 0.430 0.780 1.339
beta4_pH[5,27] 0.661 0.519 0.085 0.528 1.951
beta4_pH[6,27] 1.941 1.736 0.231 1.350 6.643
beta4_pH[7,27] 1.093 0.608 0.347 0.952 2.449
beta4_pH[8,27] 0.752 0.425 0.228 0.665 1.724
beta4_pH[9,27] 0.911 0.537 0.272 0.775 2.169
beta4_pH[10,27] 0.726 0.276 0.347 0.684 1.293
beta4_pH[11,27] 0.682 0.245 0.349 0.641 1.195
beta4_pH[12,27] 0.936 0.377 0.435 0.855 1.730
beta4_pH[13,27] 0.744 0.262 0.383 0.694 1.287
beta4_pH[14,27] 1.034 0.335 0.560 0.980 1.696
beta4_pH[15,27] 0.921 0.270 0.538 0.877 1.444
beta4_pH[16,27] 0.897 0.359 0.419 0.818 1.649
beta4_pH[1,28] 0.693 0.283 0.306 0.650 1.273
beta4_pH[2,28] 0.851 0.213 0.543 0.824 1.260
beta4_pH[3,28] 0.910 0.279 0.516 0.871 1.469
beta4_pH[4,28] 0.801 0.265 0.429 0.768 1.343
beta4_pH[5,28] 0.680 0.527 0.087 0.554 1.958
beta4_pH[6,28] 1.934 1.709 0.237 1.380 6.626
beta4_pH[7,28] 1.093 0.609 0.348 0.954 2.505
beta4_pH[8,28] 0.768 0.433 0.228 0.681 1.729
beta4_pH[9,28] 0.913 0.536 0.274 0.772 2.181
beta4_pH[10,28] 0.726 0.276 0.350 0.682 1.295
beta4_pH[11,28] 0.693 0.246 0.353 0.647 1.192
beta4_pH[12,28] 0.926 0.383 0.437 0.821 1.732
beta4_pH[13,28] 0.740 0.265 0.380 0.693 1.287
beta4_pH[14,28] 1.034 0.337 0.560 0.978 1.705
beta4_pH[15,28] 0.918 0.265 0.541 0.880 1.450
beta4_pH[16,28] 0.907 0.363 0.419 0.827 1.664
beta4_pH[1,29] 0.691 0.283 0.306 0.641 1.291
beta4_pH[2,29] 0.850 0.211 0.546 0.813 1.258
beta4_pH[3,29] 0.909 0.282 0.514 0.869 1.474
beta4_pH[4,29] 0.813 0.267 0.431 0.780 1.343
beta4_pH[5,29] 0.669 0.513 0.085 0.550 1.962
beta4_pH[6,29] 1.875 1.684 0.226 1.334 6.611
beta4_pH[7,29] 1.081 0.599 0.348 0.948 2.465
beta4_pH[8,29] 0.758 0.426 0.227 0.674 1.709
beta4_pH[9,29] 0.911 0.534 0.276 0.778 2.172
beta4_pH[10,29] 0.717 0.272 0.345 0.669 1.283
beta4_pH[11,29] 0.696 0.248 0.350 0.652 1.189
beta4_pH[12,29] 0.923 0.377 0.435 0.828 1.723
beta4_pH[13,29] 0.750 0.266 0.380 0.704 1.294
beta4_pH[14,29] 1.017 0.330 0.562 0.955 1.692
beta4_pH[15,29] 0.913 0.262 0.536 0.868 1.446
beta4_pH[16,29] 0.899 0.354 0.421 0.832 1.652
beta4_pH[1,30] 0.694 0.289 0.304 0.649 1.286
beta4_pH[2,30] 0.848 0.212 0.546 0.816 1.254
beta4_pH[3,30] 0.916 0.283 0.513 0.876 1.475
beta4_pH[4,30] 0.804 0.265 0.435 0.762 1.351
beta4_pH[5,30] 0.658 0.508 0.087 0.527 1.953
beta4_pH[6,30] 1.882 1.719 0.231 1.300 6.696
beta4_pH[7,30] 1.109 0.609 0.347 0.967 2.467
beta4_pH[8,30] 0.760 0.426 0.225 0.679 1.719
beta4_pH[9,30] 0.925 0.541 0.276 0.784 2.208
beta4_pH[10,30] 0.728 0.274 0.346 0.693 1.287
beta4_pH[11,30] 0.692 0.248 0.352 0.646 1.193
beta4_pH[12,30] 0.922 0.377 0.435 0.823 1.733
beta4_pH[13,30] 0.742 0.269 0.377 0.694 1.301
beta4_pH[14,30] 1.035 0.332 0.559 0.983 1.697
beta4_pH[15,30] 0.906 0.266 0.535 0.860 1.445
beta4_pH[16,30] 0.909 0.359 0.420 0.845 1.659
beta4_pH[1,31] 0.689 0.281 0.305 0.650 1.278
beta4_pH[2,31] 0.853 0.217 0.544 0.817 1.268
beta4_pH[3,31] 0.902 0.278 0.512 0.857 1.461
beta4_pH[4,31] 0.806 0.265 0.431 0.769 1.341
beta4_pH[5,31] 0.685 0.524 0.086 0.567 1.970
beta4_pH[6,31] 1.971 1.774 0.227 1.376 6.821
beta4_pH[7,31] 1.102 0.608 0.346 0.962 2.502
beta4_pH[8,31] 0.761 0.420 0.227 0.672 1.703
beta4_pH[9,31] 0.915 0.536 0.276 0.776 2.168
beta4_pH[10,31] 0.733 0.278 0.344 0.695 1.295
beta4_pH[11,31] 0.690 0.245 0.352 0.646 1.195
beta4_pH[12,31] 0.918 0.369 0.439 0.831 1.715
beta4_pH[13,31] 0.747 0.259 0.382 0.704 1.292
beta4_pH[14,31] 1.019 0.329 0.563 0.963 1.696
beta4_pH[15,31] 0.919 0.270 0.534 0.871 1.436
beta4_pH[16,31] 0.898 0.357 0.416 0.819 1.659
beta4_pH[1,32] 0.690 0.285 0.303 0.642 1.290
beta4_pH[2,32] 0.851 0.211 0.545 0.817 1.261
beta4_pH[3,32] 0.909 0.283 0.513 0.860 1.481
beta4_pH[4,32] 0.805 0.265 0.433 0.768 1.341
beta4_pH[5,32] 0.695 0.526 0.088 0.570 1.956
beta4_pH[6,32] 1.896 1.693 0.228 1.348 6.591
beta4_pH[7,32] 1.114 0.612 0.353 0.978 2.511
beta4_pH[8,32] 0.744 0.414 0.227 0.660 1.685
beta4_pH[9,32] 0.938 0.552 0.277 0.804 2.226
beta4_pH[10,32] 0.718 0.274 0.347 0.674 1.287
beta4_pH[11,32] 0.685 0.241 0.350 0.641 1.182
beta4_pH[12,32] 0.938 0.379 0.436 0.857 1.725
beta4_pH[13,32] 0.744 0.265 0.380 0.693 1.286
beta4_pH[14,32] 1.032 0.336 0.560 0.976 1.711
beta4_pH[15,32] 0.917 0.265 0.537 0.878 1.439
beta4_pH[16,32] 0.912 0.363 0.423 0.836 1.665
beta4_pH[1,33] 0.685 0.282 0.304 0.643 1.285
beta4_pH[2,33] 0.843 0.211 0.546 0.810 1.257
beta4_pH[3,33] 0.901 0.280 0.512 0.858 1.472
beta4_pH[4,33] 0.811 0.265 0.430 0.771 1.348
beta4_pH[5,33] 0.678 0.526 0.086 0.553 1.991
beta4_pH[6,33] 1.922 1.713 0.231 1.355 6.646
beta4_pH[7,33] 1.095 0.605 0.349 0.960 2.473
beta4_pH[8,33] 0.759 0.426 0.227 0.665 1.713
beta4_pH[9,33] 0.909 0.533 0.273 0.775 2.159
beta4_pH[10,33] 0.729 0.277 0.345 0.688 1.289
beta4_pH[11,33] 0.690 0.243 0.353 0.646 1.198
beta4_pH[12,33] 0.933 0.380 0.437 0.845 1.731
beta4_pH[13,33] 0.746 0.266 0.379 0.700 1.290
beta4_pH[14,33] 1.019 0.331 0.563 0.959 1.703
beta4_pH[15,33] 0.922 0.266 0.540 0.874 1.447
beta4_pH[16,33] 0.898 0.362 0.421 0.820 1.658
beta4_pH[1,34] 0.691 0.286 0.306 0.651 1.291
beta4_pH[2,34] 0.850 0.213 0.546 0.821 1.264
beta4_pH[3,34] 0.914 0.280 0.511 0.870 1.475
beta4_pH[4,34] 0.809 0.267 0.431 0.770 1.335
beta4_pH[5,34] 0.660 0.510 0.086 0.545 1.960
beta4_pH[6,34] 1.947 1.745 0.227 1.370 6.623
beta4_pH[7,34] 1.089 0.605 0.347 0.943 2.482
beta4_pH[8,34] 0.761 0.427 0.224 0.673 1.708
beta4_pH[9,34] 0.927 0.533 0.276 0.797 2.167
beta4_pH[10,34] 0.728 0.280 0.346 0.683 1.291
beta4_pH[11,34] 0.688 0.248 0.350 0.644 1.194
beta4_pH[12,34] 0.916 0.368 0.438 0.831 1.712
beta4_pH[13,34] 0.747 0.263 0.380 0.699 1.289
beta4_pH[14,34] 1.021 0.333 0.563 0.961 1.697
beta4_pH[15,34] 0.920 0.267 0.540 0.880 1.444
beta4_pH[16,34] 0.896 0.359 0.419 0.815 1.658
beta4_pH[1,35] 0.415 0.145 0.200 0.391 0.763
beta4_pH[2,35] 0.783 0.086 0.622 0.780 0.963
beta4_pH[3,35] 1.035 0.168 0.737 1.021 1.393
beta4_pH[4,35] 0.592 0.221 0.269 0.549 1.145
beta4_pH[5,35] 0.126 0.095 0.027 0.102 0.362
beta4_pH[6,35] 0.770 0.761 0.132 0.571 2.545
beta4_pH[7,35] 2.265 1.788 0.414 1.802 7.196
beta4_pH[8,35] 0.526 0.260 0.186 0.474 1.180
beta4_pH[9,35] 0.625 0.552 0.100 0.464 2.081
beta4_pH[10,35] 0.632 0.137 0.400 0.620 0.940
beta4_pH[11,35] 0.752 0.197 0.440 0.723 1.216
beta4_pH[12,35] 1.439 0.943 0.373 1.187 3.950
beta4_pH[13,35] 0.725 0.106 0.542 0.717 0.949
beta4_pH[14,35] 0.793 0.272 0.393 0.745 1.445
beta4_pH[15,35] 0.883 0.120 0.668 0.876 1.132
beta4_pH[16,35] 0.598 0.267 0.228 0.556 1.257
beta4_pH[1,36] 0.920 0.205 0.589 0.895 1.389
beta4_pH[2,36] 0.858 0.114 0.658 0.849 1.099
beta4_pH[3,36] 0.871 0.155 0.612 0.855 1.205
beta4_pH[4,36] 0.758 0.228 0.401 0.731 1.278
beta4_pH[5,36] 0.657 0.718 0.074 0.430 2.773
beta4_pH[6,36] 6.094 4.435 0.792 4.902 17.405
beta4_pH[7,36] 1.153 0.664 0.350 0.982 2.826
beta4_pH[8,36] 0.935 0.413 0.370 0.864 1.884
beta4_pH[9,36] 0.533 0.373 0.114 0.441 1.445
beta4_pH[10,36] 0.462 0.128 0.262 0.446 0.762
beta4_pH[11,36] 0.551 0.108 0.367 0.542 0.794
beta4_pH[12,36] 0.857 0.473 0.270 0.750 2.095
beta4_pH[13,36] 0.787 0.123 0.575 0.780 1.046
beta4_pH[14,36] 1.245 0.462 0.588 1.160 2.364
beta4_pH[15,36] 0.959 0.138 0.717 0.951 1.245
beta4_pH[16,36] 1.013 0.395 0.460 0.948 1.958
beta4_pH[1,37] 0.761 0.178 0.477 0.741 1.170
beta4_pH[2,37] 0.772 0.086 0.614 0.769 0.957
beta4_pH[3,37] 0.904 0.133 0.665 0.896 1.189
beta4_pH[4,37] 0.755 0.227 0.394 0.729 1.293
beta4_pH[5,37] 1.127 1.238 0.108 0.734 4.535
beta4_pH[6,37] 2.047 2.009 0.248 1.424 7.448
beta4_pH[7,37] 1.229 0.827 0.311 1.010 3.262
beta4_pH[8,37] 0.974 0.411 0.409 0.897 1.987
beta4_pH[9,37] 1.829 1.961 0.197 1.229 7.356
beta4_pH[10,37] 0.773 0.154 0.522 0.756 1.118
beta4_pH[11,37] 0.836 0.172 0.544 0.817 1.214
beta4_pH[12,37] 0.796 0.515 0.203 0.669 2.162
beta4_pH[13,37] 0.624 0.095 0.457 0.616 0.833
beta4_pH[14,37] 1.011 0.368 0.475 0.957 1.927
beta4_pH[15,37] 0.704 0.102 0.527 0.696 0.929
beta4_pH[16,37] 0.608 0.188 0.320 0.583 1.058
beta4_pH[1,38] 0.740 0.157 0.489 0.725 1.088
beta4_pH[2,38] 0.714 0.084 0.564 0.710 0.888
beta4_pH[3,38] 0.898 0.164 0.613 0.882 1.253
beta4_pH[4,38] 0.905 0.245 0.514 0.876 1.456
beta4_pH[5,38] 0.520 0.425 0.096 0.404 1.608
beta4_pH[6,38] 1.685 2.007 0.134 1.042 7.531
beta4_pH[7,38] 0.502 0.285 0.149 0.437 1.218
beta4_pH[8,38] 0.767 0.307 0.334 0.711 1.509
beta4_pH[9,38] 1.554 1.034 0.360 1.269 4.337
beta4_pH[10,38] 0.720 0.162 0.465 0.702 1.100
beta4_pH[11,38] 0.534 0.136 0.316 0.518 0.848
beta4_pH[12,38] 0.782 0.510 0.208 0.656 2.073
beta4_pH[13,38] 0.915 0.191 0.589 0.897 1.326
beta4_pH[14,38] 1.138 0.436 0.512 1.061 2.214
beta4_pH[15,38] 0.845 0.097 0.665 0.842 1.041
beta4_pH[16,38] 0.830 0.343 0.350 0.770 1.644
beta4_pH[1,39] 0.702 0.144 0.459 0.688 1.015
beta4_pH[2,39] 0.865 0.102 0.678 0.863 1.080
beta4_pH[3,39] 0.837 0.120 0.627 0.830 1.092
beta4_pH[4,39] 0.845 0.283 0.424 0.798 1.503
beta4_pH[5,39] 1.111 1.321 0.113 0.720 4.403
beta4_pH[6,39] 0.481 0.775 0.038 0.272 2.088
beta4_pH[7,39] 1.890 1.719 0.294 1.371 6.580
beta4_pH[8,39] 1.397 0.746 0.436 1.235 3.309
beta4_pH[9,39] 2.042 1.695 0.369 1.551 6.903
beta4_pH[10,39] 0.758 0.205 0.438 0.735 1.238
beta4_pH[11,39] 0.696 0.176 0.410 0.676 1.084
beta4_pH[12,39] 0.783 0.460 0.231 0.679 1.984
beta4_pH[13,39] 0.720 0.119 0.514 0.711 0.980
beta4_pH[14,39] 0.997 0.398 0.451 0.918 1.982
beta4_pH[15,39] 0.996 0.109 0.801 0.990 1.232
beta4_pH[16,39] 0.847 0.340 0.363 0.782 1.656
beta4_pH[1,40] 0.771 0.135 0.540 0.760 1.067
beta4_pH[2,40] 0.763 0.085 0.612 0.759 0.943
beta4_pH[3,40] 0.922 0.144 0.674 0.912 1.241
beta4_pH[4,40] 0.887 0.213 0.545 0.859 1.345
beta4_pH[5,40] 0.323 0.225 0.073 0.263 0.918
beta4_pH[6,40] 2.055 2.129 0.228 1.412 8.178
beta4_pH[7,40] 1.546 1.390 0.263 1.167 5.162
beta4_pH[8,40] 0.354 0.281 0.073 0.280 1.057
beta4_pH[9,40] 0.525 0.571 0.067 0.355 1.921
beta4_pH[10,40] 0.915 0.245 0.531 0.876 1.499
beta4_pH[11,40] 0.467 0.116 0.281 0.451 0.729
beta4_pH[12,40] 0.661 0.403 0.198 0.562 1.707
beta4_pH[13,40] 0.785 0.124 0.574 0.776 1.049
beta4_pH[14,40] 0.760 0.252 0.390 0.725 1.349
beta4_pH[15,40] 0.839 0.096 0.667 0.831 1.045
beta4_pH[16,40] 1.155 0.481 0.480 1.072 2.303
beta4_pH[1,41] 0.610 0.129 0.392 0.600 0.908
beta4_pH[2,41] 0.788 0.104 0.606 0.780 1.008
beta4_pH[3,41] 0.882 0.145 0.629 0.870 1.203
beta4_pH[4,41] 0.860 0.382 0.344 0.783 1.804
beta4_pH[5,41] 1.402 0.772 0.442 1.229 3.344
beta4_pH[6,41] 3.028 3.136 0.297 1.918 12.381
beta4_pH[7,41] 0.828 0.502 0.243 0.704 2.073
beta4_pH[8,41] 1.192 0.715 0.340 1.018 2.972
beta4_pH[9,41] 0.527 0.610 0.058 0.349 2.025
beta4_pH[10,41] 0.775 0.176 0.493 0.753 1.180
beta4_pH[11,41] 0.859 0.243 0.468 0.834 1.403
beta4_pH[12,41] 0.944 0.432 0.346 0.860 2.015
beta4_pH[13,41] 0.700 0.111 0.513 0.691 0.939
beta4_pH[14,41] 1.122 0.351 0.595 1.066 1.953
beta4_pH[15,41] 0.789 0.099 0.607 0.785 1.000
beta4_pH[16,41] 0.916 0.426 0.352 0.828 1.977
beta4_pH[1,42] 0.669 0.140 0.441 0.653 0.988
beta4_pH[2,42] 0.785 0.098 0.610 0.778 0.988
beta4_pH[3,42] 0.800 0.151 0.542 0.786 1.132
beta4_pH[4,42] 0.969 0.310 0.485 0.921 1.693
beta4_pH[5,42] 1.437 1.588 0.147 0.915 5.801
beta4_pH[6,42] 0.335 0.262 0.064 0.261 1.060
beta4_pH[7,42] 0.990 0.627 0.262 0.836 2.580
beta4_pH[8,42] 0.775 0.344 0.325 0.704 1.644
beta4_pH[9,42] 0.781 0.563 0.168 0.631 2.255
beta4_pH[10,42] 0.914 0.207 0.575 0.891 1.396
beta4_pH[11,42] 0.641 0.147 0.409 0.627 0.964
beta4_pH[12,42] 0.827 0.389 0.313 0.748 1.788
beta4_pH[13,42] 0.516 0.164 0.268 0.493 0.903
beta4_pH[14,42] 0.900 0.307 0.436 0.850 1.624
beta4_pH[15,42] 0.923 0.094 0.752 0.919 1.125
beta4_pH[16,42] 0.569 0.207 0.277 0.533 1.074
beta4_pH[1,43] 0.798 0.194 0.482 0.774 1.254
beta4_pH[2,43] 0.754 0.081 0.612 0.750 0.922
beta4_pH[3,43] 0.670 0.095 0.506 0.663 0.872
beta4_pH[4,43] 0.854 0.283 0.428 0.811 1.539
beta4_pH[5,43] 1.588 0.728 0.618 1.452 3.421
beta4_pH[6,43] 1.141 0.960 0.230 0.877 3.683
beta4_pH[7,43] 0.727 0.650 0.135 0.550 2.314
beta4_pH[8,43] 0.635 0.287 0.254 0.578 1.331
beta4_pH[9,43] 1.164 1.073 0.166 0.835 3.900
beta4_pH[10,43] 0.678 0.141 0.448 0.662 1.011
beta4_pH[11,43] 0.640 0.136 0.418 0.624 0.941
beta4_pH[12,43] 0.761 0.378 0.269 0.685 1.680
beta4_pH[13,43] 0.585 0.120 0.387 0.573 0.852
beta4_pH[14,43] 1.101 0.338 0.576 1.053 1.887
beta4_pH[15,43] 0.849 0.103 0.667 0.845 1.073
beta4_pH[16,43] 1.232 0.460 0.572 1.147 2.319
beta4_pH[1,44] 0.610 0.164 0.353 0.590 0.982
beta4_pH[2,44] 0.704 0.079 0.564 0.699 0.870
beta4_pH[3,44] 0.637 0.100 0.464 0.630 0.852
beta4_pH[4,44] 0.833 0.211 0.490 0.807 1.319
beta4_pH[5,44] 1.264 0.605 0.472 1.143 2.834
beta4_pH[6,44] 1.269 1.465 0.128 0.809 5.287
beta4_pH[7,44] 1.162 0.664 0.361 1.005 2.792
beta4_pH[8,44] 0.441 0.284 0.116 0.368 1.201
beta4_pH[9,44] 0.986 0.848 0.153 0.750 3.110
beta4_pH[10,44] 0.630 0.155 0.382 0.607 0.979
beta4_pH[11,44] 0.357 0.126 0.172 0.335 0.659
beta4_pH[12,44] 0.608 0.326 0.202 0.539 1.445
beta4_pH[13,44] 0.541 0.099 0.373 0.536 0.756
beta4_pH[14,44] 0.682 0.176 0.400 0.661 1.069
beta4_pH[15,44] 0.644 0.084 0.496 0.637 0.822
beta4_pH[16,44] 0.434 0.189 0.171 0.397 0.896
beta4_pH[1,45] 0.799 0.193 0.489 0.779 1.226
beta4_pH[2,45] 0.710 0.085 0.559 0.704 0.892
beta4_pH[3,45] 0.765 0.142 0.518 0.751 1.077
beta4_pH[4,45] 0.755 0.197 0.444 0.729 1.201
beta4_pH[5,45] 0.962 1.101 0.096 0.629 3.770
beta4_pH[6,45] 1.226 1.261 0.169 0.879 4.243
beta4_pH[7,45] 0.702 0.579 0.128 0.545 2.261
beta4_pH[8,45] 1.188 0.530 0.481 1.086 2.519
beta4_pH[9,45] 0.104 0.118 0.011 0.068 0.411
beta4_pH[10,45] 0.852 0.204 0.519 0.833 1.319
beta4_pH[11,45] 0.472 0.102 0.306 0.459 0.709
beta4_pH[12,45] 0.775 0.355 0.298 0.709 1.627
beta4_pH[13,45] 0.461 0.077 0.329 0.455 0.633
beta4_pH[14,45] 0.740 0.172 0.458 0.723 1.135
beta4_pH[15,45] 0.507 0.068 0.388 0.502 0.650
beta4_pH[16,45] 0.263 0.170 0.074 0.224 0.688
beta4_pH[1,46] 0.799 0.160 0.525 0.786 1.143
beta4_pH[2,46] 0.681 0.096 0.511 0.677 0.892
beta4_pH[3,46] 0.763 0.116 0.560 0.754 1.022
beta4_pH[4,46] 0.877 0.329 0.405 0.821 1.639
beta4_pH[5,46] 1.126 0.605 0.355 0.993 2.614
beta4_pH[6,46] 1.512 1.826 0.118 0.906 6.389
beta4_pH[7,46] 1.651 1.169 0.353 1.336 4.727
beta4_pH[8,46] 1.075 0.499 0.413 0.973 2.296
beta4_pH[9,46] 1.657 1.654 0.203 1.139 6.160
beta4_pH[10,46] 0.667 0.178 0.383 0.646 1.090
beta4_pH[11,46] 0.700 0.160 0.438 0.680 1.056
beta4_pH[12,46] 1.175 0.628 0.401 1.037 2.778
beta4_pH[13,46] 0.593 0.183 0.310 0.565 1.021
beta4_pH[14,46] 0.975 0.340 0.465 0.928 1.761
beta4_pH[15,46] 0.623 0.076 0.481 0.617 0.783
beta4_pH[16,46] 0.624 0.276 0.254 0.567 1.297
beta4_pH[1,47] 0.630 0.148 0.389 0.613 0.950
beta4_pH[2,47] 0.767 0.110 0.575 0.761 0.995
beta4_pH[3,47] 0.770 0.117 0.573 0.762 1.029
beta4_pH[4,47] 0.543 0.220 0.231 0.501 1.092
beta4_pH[5,47] 0.115 0.082 0.025 0.094 0.331
beta4_pH[6,47] 0.189 0.137 0.043 0.152 0.538
beta4_pH[7,47] 0.490 0.437 0.082 0.371 1.642
beta4_pH[8,47] 0.859 0.564 0.213 0.716 2.279
beta4_pH[9,47] 0.467 0.560 0.040 0.294 2.031
beta4_pH[10,47] 0.841 0.272 0.428 0.798 1.483
beta4_pH[11,47] 0.588 0.119 0.386 0.577 0.858
beta4_pH[12,47] 1.629 0.950 0.507 1.414 4.057
beta4_pH[13,47] 0.682 0.118 0.481 0.668 0.953
beta4_pH[14,47] 0.872 0.329 0.399 0.814 1.690
beta4_pH[15,47] 0.714 0.121 0.511 0.701 0.989
beta4_pH[16,47] 0.810 0.327 0.348 0.750 1.640
beta0_pelagic[1] 2.250 0.140 1.970 2.249 2.523
beta0_pelagic[2] 1.483 0.132 1.215 1.481 1.742
beta0_pelagic[3] 0.172 0.370 -0.844 0.234 0.707
beta0_pelagic[4] 0.335 0.323 -0.327 0.341 0.950
beta0_pelagic[5] 1.427 0.212 1.005 1.425 1.845
beta0_pelagic[6] 1.361 0.154 1.057 1.360 1.662
beta0_pelagic[7] 1.511 0.144 1.224 1.513 1.790
beta0_pelagic[8] 1.749 0.144 1.465 1.749 2.030
beta0_pelagic[9] 2.656 0.167 2.333 2.653 2.985
beta0_pelagic[10] 2.531 0.134 2.268 2.530 2.795
beta0_pelagic[11] -0.418 0.323 -1.103 -0.398 0.188
beta0_pelagic[12] 1.721 0.145 1.436 1.722 2.003
beta0_pelagic[13] 0.349 0.347 -0.798 0.411 0.769
beta0_pelagic[14] -0.191 0.265 -0.773 -0.168 0.257
beta0_pelagic[15] -0.263 0.185 -0.672 -0.250 0.045
beta0_pelagic[16] -0.439 0.323 -1.132 -0.429 0.160
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.734 0.463 0.067 0.658 2.202
beta1_pelagic[4] 0.780 0.350 0.065 0.788 1.469
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.516 0.397 0.743 1.509 2.331
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 0.662 0.554 0.014 0.582 2.232
beta1_pelagic[14] 1.482 0.479 0.751 1.396 2.676
beta1_pelagic[15] 0.130 0.186 0.011 0.056 0.649
beta1_pelagic[16] 1.514 0.439 0.749 1.468 2.513
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.894 6.153 0.115 5.304 21.950
beta2_pelagic[4] 7.353 5.883 0.375 5.919 21.863
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 2.111 1.677 0.280 1.614 6.371
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 2.128 1.816 0.108 1.634 6.555
beta2_pelagic[14] 1.443 1.466 0.189 0.867 5.540
beta2_pelagic[15] 2.449 1.886 0.074 2.071 6.987
beta2_pelagic[16] 1.666 1.605 0.190 1.068 5.946
beta3_pelagic[1] 28.998 6.361 18.558 29.042 39.456
beta3_pelagic[2] 28.927 6.322 18.657 28.887 39.462
beta3_pelagic[3] 28.036 3.667 20.810 28.429 35.595
beta3_pelagic[4] 25.926 2.882 21.381 25.946 34.716
beta3_pelagic[5] 29.222 6.399 18.526 29.316 39.487
beta3_pelagic[6] 29.104 6.338 18.613 28.997 39.398
beta3_pelagic[7] 28.849 6.349 18.516 28.845 39.243
beta3_pelagic[8] 28.787 6.411 18.463 28.572 39.363
beta3_pelagic[9] 28.912 6.284 18.590 28.911 39.448
beta3_pelagic[10] 28.834 6.349 18.539 28.604 39.506
beta3_pelagic[11] 29.627 1.317 26.881 29.642 32.197
beta3_pelagic[12] 28.972 6.336 18.482 28.838 39.466
beta3_pelagic[13] 33.956 5.335 19.941 35.592 39.776
beta3_pelagic[14] 34.325 2.052 30.722 34.203 39.037
beta3_pelagic[15] 29.964 6.602 18.717 30.736 39.726
beta3_pelagic[16] 31.144 1.888 27.879 30.917 35.892
beta0_yellow[1] -0.509 0.161 -0.825 -0.508 -0.191
beta0_yellow[2] 0.572 0.215 0.188 0.588 0.907
beta0_yellow[3] -0.150 0.206 -0.565 -0.144 0.225
beta0_yellow[4] 0.920 0.353 -0.151 0.992 1.344
beta0_yellow[5] 0.415 0.347 -0.376 0.469 0.956
beta0_yellow[6] 0.813 0.165 0.484 0.810 1.144
beta0_yellow[7] 0.923 0.163 0.628 0.913 1.261
beta0_yellow[8] 0.973 0.167 0.664 0.966 1.312
beta0_yellow[9] 0.575 0.170 0.230 0.581 0.891
beta0_yellow[10] 0.700 0.140 0.422 0.699 0.973
beta0_yellow[11] 0.194 0.173 -0.149 0.192 0.529
beta0_yellow[12] -1.132 0.180 -1.490 -1.133 -0.776
beta0_yellow[13] -0.844 0.171 -1.194 -0.838 -0.512
beta0_yellow[14] 0.023 0.177 -0.326 0.025 0.371
beta0_yellow[15] -0.789 0.168 -1.114 -0.789 -0.455
beta0_yellow[16] -0.241 0.173 -0.575 -0.242 0.097
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.004 0.426 0.464 0.950 1.827
beta1_yellow[3] 0.426 0.300 0.014 0.419 0.983
beta1_yellow[4] 1.305 0.766 0.491 1.128 3.936
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.326 5.886 -21.581 -5.919 -0.205
beta2_yellow[3] -7.863 5.873 -20.961 -6.510 -0.359
beta2_yellow[4] -6.135 5.720 -19.796 -4.643 -0.096
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 29.049 1.833 26.467 28.784 32.894
beta3_yellow[3] 32.450 4.052 21.575 32.705 40.264
beta3_yellow[4] 28.581 3.343 22.099 27.752 36.077
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[14] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[15] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[16] 25.000 0.000 25.000 25.000 25.000
beta0_black[1] -0.004 0.153 -0.296 -0.006 0.302
beta0_black[2] 1.891 0.135 1.632 1.892 2.158
beta0_black[3] 1.367 0.141 1.081 1.370 1.648
beta0_black[4] 2.488 0.141 2.209 2.489 2.767
beta0_black[5] 4.549 2.166 1.776 4.060 10.351
beta0_black[6] 4.421 2.006 2.119 3.867 9.892
beta0_black[7] 3.240 1.797 1.270 2.755 8.321
beta0_black[8] 0.899 0.235 0.461 0.892 1.353
beta0_black[9] 2.585 0.256 2.097 2.581 3.092
beta0_black[10] 1.376 0.138 1.105 1.373 1.643
beta0_black[11] 3.470 0.174 3.133 3.470 3.812
beta0_black[12] 4.848 0.195 4.456 4.854 5.225
beta0_black[13] 0.249 0.186 0.010 0.210 0.683
beta0_black[14] 2.985 0.179 2.618 2.987 3.325
beta0_black[15] 1.405 0.169 1.085 1.405 1.737
beta0_black[16] 4.243 0.185 3.880 4.240 4.596
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.818 1.959 -7.804 -2.254 -0.521
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 38.975 0.959 36.939 39.138 40.317
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.261 0.202 -0.665 -0.264 0.131
beta4_black[2] 0.267 0.189 -0.098 0.265 0.630
beta4_black[3] -1.000 0.198 -1.392 -0.996 -0.622
beta4_black[4] 0.490 0.217 0.060 0.490 0.921
beta4_black[5] 0.707 1.448 -1.151 0.408 4.184
beta4_black[6] 0.850 1.487 -0.885 0.527 4.491
beta4_black[7] 0.684 1.452 -0.986 0.400 4.012
beta4_black[8] -0.222 0.319 -0.857 -0.223 0.384
beta4_black[9] 0.949 0.852 -0.217 0.774 3.013
beta4_black[10] 0.061 0.187 -0.307 0.057 0.422
beta4_black[11] -0.718 0.227 -1.168 -0.721 -0.278
beta4_black[12] 0.421 0.344 -0.246 0.417 1.109
beta4_black[13] -1.345 0.219 -1.758 -1.349 -0.921
beta4_black[14] -0.111 0.253 -0.592 -0.107 0.378
beta4_black[15] -0.926 0.225 -1.347 -0.928 -0.483
beta4_black[16] -0.603 0.247 -1.087 -0.600 -0.135
beta0_dsr[11] 1.894 0.171 1.556 1.892 2.210
beta0_dsr[12] 4.982 0.277 4.457 4.976 5.542
beta0_dsr[13] 1.515 0.172 1.180 1.511 1.863
beta0_dsr[14] 2.622 0.181 2.268 2.623 2.970
beta0_dsr[15] 1.332 0.169 1.005 1.330 1.656
beta0_dsr[16] 2.832 0.178 2.481 2.832 3.181
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.657 0.236 0.189 0.656 1.102
beta4_dsr[12] 0.000 0.744 -1.328 -0.056 1.586
beta4_dsr[13] -0.311 0.235 -0.772 -0.312 0.143
beta4_dsr[14] 0.052 0.282 -0.500 0.056 0.593
beta4_dsr[15] 0.832 0.225 0.399 0.830 1.267
beta4_dsr[16] 0.089 0.252 -0.412 0.089 0.580
beta0_slope[11] -1.826 0.171 -2.157 -1.825 -1.493
beta0_slope[12] -4.753 0.254 -5.255 -4.749 -4.263
beta0_slope[13] -1.261 0.175 -1.610 -1.260 -0.926
beta0_slope[14] -2.630 0.189 -3.001 -2.631 -2.263
beta0_slope[15] -1.262 0.169 -1.596 -1.260 -0.939
beta0_slope[16] -2.680 0.183 -3.043 -2.674 -2.333
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.811 0.231 -1.266 -0.807 -0.372
beta4_slope[12] -1.602 0.601 -2.807 -1.582 -0.493
beta4_slope[13] 0.086 0.232 -0.358 0.087 0.545
beta4_slope[14] 0.014 0.280 -0.529 0.015 0.547
beta4_slope[15] -0.875 0.229 -1.317 -0.877 -0.416
beta4_slope[16] -0.233 0.249 -0.716 -0.231 0.246
beta5_slope[11] 2.679 0.288 2.123 2.679 3.254
beta5_slope[12] -0.206 0.473 -1.125 -0.207 0.722
beta5_slope[13] 1.235 0.281 0.695 1.234 1.802
beta5_slope[14] 4.047 0.515 3.069 4.041 5.072
beta5_slope[15] 1.739 0.279 1.212 1.737 2.291
beta5_slope[16] 2.686 0.358 1.968 2.680 3.391
sigma_H[1] 0.194 0.056 0.090 0.190 0.310
sigma_H[2] 0.171 0.030 0.118 0.169 0.236
sigma_H[3] 0.204 0.043 0.127 0.203 0.298
sigma_H[4] 0.351 0.072 0.226 0.345 0.508
sigma_H[5] 1.033 0.239 0.598 1.021 1.534
sigma_H[6] 0.273 0.190 0.013 0.244 0.724
sigma_H[7] 0.276 0.049 0.195 0.271 0.391
sigma_H[8] 0.435 0.091 0.302 0.422 0.634
sigma_H[9] 0.394 0.077 0.274 0.386 0.573
sigma_H[10] 0.227 0.046 0.148 0.223 0.332
sigma_H[11] 0.276 0.045 0.200 0.273 0.375
sigma_H[12] 0.466 0.173 0.208 0.462 0.804
sigma_H[13] 0.208 0.037 0.143 0.206 0.290
sigma_H[14] 0.466 0.097 0.305 0.456 0.684
sigma_H[15] 0.247 0.040 0.182 0.244 0.338
sigma_H[16] 0.227 0.044 0.153 0.222 0.326
lambda_H[1] 2.931 4.033 0.146 1.533 14.271
lambda_H[2] 8.562 8.153 0.904 6.218 29.467
lambda_H[3] 7.197 10.224 0.318 3.822 35.083
lambda_H[4] 0.008 0.006 0.002 0.007 0.023
lambda_H[5] 3.129 8.685 0.014 0.371 27.215
lambda_H[6] 11.015 19.288 0.016 4.243 57.103
lambda_H[7] 0.017 0.012 0.003 0.014 0.047
lambda_H[8] 8.194 10.304 0.001 4.755 38.232
lambda_H[9] 0.020 0.014 0.004 0.017 0.055
lambda_H[10] 0.385 1.434 0.033 0.191 1.516
lambda_H[11] 0.274 0.400 0.012 0.136 1.283
lambda_H[12] 5.595 7.193 0.239 3.237 25.117
lambda_H[13] 3.843 3.602 0.275 2.827 14.027
lambda_H[14] 3.343 4.061 0.237 2.139 13.739
lambda_H[15] 0.028 0.041 0.004 0.018 0.112
lambda_H[16] 0.914 1.754 0.027 0.313 5.469
mu_lambda_H[1] 4.412 1.890 1.237 4.255 8.498
mu_lambda_H[2] 3.964 1.982 0.697 3.813 8.302
mu_lambda_H[3] 3.588 1.862 0.756 3.315 7.742
sigma_lambda_H[1] 8.690 4.334 2.139 7.995 18.199
sigma_lambda_H[2] 8.575 4.681 1.083 8.030 18.573
sigma_lambda_H[3] 6.457 4.075 0.981 5.552 16.677
beta_H[1,1] 6.819 1.099 4.279 6.994 8.450
beta_H[2,1] 9.874 0.479 8.853 9.895 10.731
beta_H[3,1] 8.036 0.741 6.276 8.115 9.276
beta_H[4,1] 12.386 7.549 -3.014 12.300 27.352
beta_H[5,1] 0.034 3.141 -6.456 0.227 5.993
beta_H[6,1] 4.332 2.832 -3.791 5.087 7.447
beta_H[7,1] 2.290 5.307 -9.100 2.655 11.852
beta_H[8,1] 3.040 9.777 -2.399 1.295 42.729
beta_H[9,1] 13.689 5.420 3.964 13.293 25.728
beta_H[10,1] 7.182 1.741 3.660 7.230 10.604
beta_H[11,1] 5.203 3.485 -2.816 5.956 9.963
beta_H[12,1] 2.579 0.979 0.849 2.517 4.693
beta_H[13,1] 8.982 0.863 6.992 9.051 10.380
beta_H[14,1] 2.194 1.024 0.072 2.222 4.210
beta_H[15,1] -5.775 3.876 -12.740 -6.055 2.469
beta_H[16,1] 4.175 3.114 -0.540 3.643 11.821
beta_H[1,2] 7.909 0.254 7.380 7.920 8.382
beta_H[2,2] 10.031 0.137 9.756 10.030 10.298
beta_H[3,2] 8.954 0.201 8.562 8.954 9.357
beta_H[4,2] 2.413 1.491 -0.511 2.388 5.487
beta_H[5,2] 1.962 1.132 -0.320 1.973 4.089
beta_H[6,2] 5.991 0.895 3.846 6.106 7.403
beta_H[7,2] 2.095 1.019 0.286 2.012 4.277
beta_H[8,2] 2.576 2.351 -7.054 3.090 4.193
beta_H[9,2] 2.856 1.012 0.874 2.874 4.826
beta_H[10,2] 8.123 0.360 7.339 8.148 8.779
beta_H[11,2] 9.753 0.622 8.868 9.637 11.159
beta_H[12,2] 3.953 0.354 3.295 3.946 4.649
beta_H[13,2] 9.130 0.242 8.684 9.119 9.626
beta_H[14,2] 4.059 0.353 3.370 4.054 4.738
beta_H[15,2] 11.296 0.691 9.843 11.314 12.596
beta_H[16,2] 4.702 0.852 3.115 4.655 6.492
beta_H[1,3] 8.552 0.252 8.093 8.549 9.065
beta_H[2,3] 10.107 0.114 9.891 10.109 10.339
beta_H[3,3] 9.655 0.165 9.331 9.649 9.995
beta_H[4,3] -0.839 1.187 -3.088 -0.922 1.690
beta_H[5,3] 4.168 0.759 2.632 4.163 5.629
beta_H[6,3] 7.518 0.945 6.249 7.292 10.058
beta_H[7,3] -2.151 0.670 -3.556 -2.134 -0.861
beta_H[8,3] 5.381 1.099 4.563 5.136 9.857
beta_H[9,3] -1.756 0.721 -3.196 -1.749 -0.334
beta_H[10,3] 8.856 0.291 8.286 8.861 9.449
beta_H[11,3] 8.549 0.284 7.939 8.575 9.038
beta_H[12,3] 5.320 0.311 4.584 5.361 5.828
beta_H[13,3] 8.943 0.176 8.587 8.944 9.287
beta_H[14,3] 5.816 0.277 5.227 5.827 6.314
beta_H[15,3] 10.405 0.320 9.774 10.406 11.019
beta_H[16,3] 5.996 0.897 4.121 6.078 7.506
beta_H[1,4] 8.304 0.179 7.919 8.319 8.617
beta_H[2,4] 10.164 0.116 9.917 10.169 10.363
beta_H[3,4] 10.155 0.156 9.817 10.168 10.424
beta_H[4,4] 11.516 0.426 10.657 11.510 12.351
beta_H[5,4] 6.027 0.994 4.465 5.913 8.201
beta_H[6,4] 7.489 0.691 5.560 7.633 8.430
beta_H[7,4] 8.135 0.323 7.491 8.133 8.778
beta_H[8,4] 6.600 0.420 5.100 6.667 7.084
beta_H[9,4] 6.905 0.383 6.126 6.904 7.671
beta_H[10,4] 7.789 0.263 7.317 7.776 8.365
beta_H[11,4] 9.379 0.198 8.993 9.377 9.763
beta_H[12,4] 7.141 0.215 6.716 7.140 7.585
beta_H[13,4] 9.073 0.144 8.778 9.078 9.347
beta_H[14,4] 7.796 0.211 7.373 7.798 8.192
beta_H[15,4] 9.466 0.232 8.994 9.467 9.924
beta_H[16,4] 9.399 0.297 8.877 9.376 10.024
beta_H[1,5] 8.986 0.145 8.695 8.987 9.272
beta_H[2,5] 10.778 0.094 10.596 10.778 10.969
beta_H[3,5] 10.889 0.165 10.593 10.885 11.243
beta_H[4,5] 8.481 0.399 7.713 8.483 9.263
beta_H[5,5] 5.016 0.867 3.040 5.181 6.348
beta_H[6,5] 8.576 0.477 7.854 8.504 9.816
beta_H[7,5] 6.832 0.312 6.214 6.836 7.440
beta_H[8,5] 8.257 0.329 7.848 8.203 9.368
beta_H[9,5] 8.366 0.375 7.607 8.374 9.099
beta_H[10,5] 10.065 0.245 9.553 10.071 10.530
beta_H[11,5] 11.505 0.231 11.053 11.506 11.973
beta_H[12,5] 8.470 0.197 8.090 8.466 8.859
beta_H[13,5] 10.006 0.127 9.746 10.008 10.248
beta_H[14,5] 9.221 0.219 8.801 9.211 9.706
beta_H[15,5] 11.160 0.244 10.693 11.158 11.651
beta_H[16,5] 9.893 0.195 9.470 9.906 10.254
beta_H[1,6] 10.180 0.196 9.857 10.163 10.614
beta_H[2,6] 11.512 0.102 11.315 11.513 11.714
beta_H[3,6] 10.825 0.159 10.502 10.830 11.112
beta_H[4,6] 12.804 0.693 11.377 12.813 14.173
beta_H[5,6] 6.063 0.752 4.761 6.021 7.716
beta_H[6,6] 8.818 0.488 7.653 8.870 9.556
beta_H[7,6] 9.784 0.508 8.781 9.785 10.787
beta_H[8,6] 9.463 0.456 7.950 9.531 9.989
beta_H[9,6] 8.347 0.617 7.166 8.320 9.571
beta_H[10,6] 9.534 0.327 8.852 9.551 10.122
beta_H[11,6] 10.816 0.351 10.049 10.844 11.443
beta_H[12,6] 9.387 0.263 8.892 9.378 9.939
beta_H[13,6] 11.047 0.162 10.758 11.042 11.394
beta_H[14,6] 9.816 0.280 9.243 9.818 10.359
beta_H[15,6] 10.840 0.424 9.973 10.848 11.665
beta_H[16,6] 10.545 0.264 9.996 10.554 11.068
beta_H[1,7] 10.826 0.929 8.509 10.949 12.231
beta_H[2,7] 12.214 0.414 11.320 12.226 13.027
beta_H[3,7] 10.605 0.630 9.187 10.676 11.629
beta_H[4,7] 2.711 3.596 -4.299 2.622 10.094
beta_H[5,7] 7.124 2.764 2.618 6.772 13.858
beta_H[6,7] 9.304 1.623 5.906 9.324 12.630
beta_H[7,7] 10.823 2.563 5.813 10.824 16.086
beta_H[8,7] 11.220 1.828 9.337 10.971 16.973
beta_H[9,7] 4.734 3.139 -1.410 4.764 10.676
beta_H[10,7] 9.807 1.488 7.085 9.718 12.987
beta_H[11,7] 10.973 1.697 7.863 10.837 14.776
beta_H[12,7] 10.093 0.900 8.194 10.164 11.692
beta_H[13,7] 11.678 0.730 9.912 11.771 12.838
beta_H[14,7] 10.372 0.901 8.445 10.404 11.964
beta_H[15,7] 11.993 2.217 7.629 11.945 16.417
beta_H[16,7] 12.329 1.391 9.971 12.149 15.436
beta0_H[1] 8.499 14.360 -21.904 8.908 36.793
beta0_H[2] 10.517 6.115 -1.614 10.656 23.408
beta0_H[3] 9.763 9.238 -8.606 9.904 28.278
beta0_H[4] 3.972 166.716 -328.836 1.213 349.552
beta0_H[5] 3.733 38.584 -82.995 4.714 80.576
beta0_H[6] 7.821 29.505 -49.950 7.576 67.428
beta0_H[7] 5.405 120.206 -235.036 4.076 254.368
beta0_H[8] 5.887 83.559 -40.078 6.395 45.416
beta0_H[9] 10.206 105.293 -198.677 9.230 233.884
beta0_H[10] 7.593 33.770 -59.524 8.114 74.869
beta0_H[11] 9.897 49.631 -92.897 9.482 116.371
beta0_H[12] 6.594 9.986 -13.661 6.759 27.329
beta0_H[13] 9.699 9.934 -9.272 9.871 28.118
beta0_H[14] 6.991 11.407 -14.343 7.092 29.078
beta0_H[15] 4.565 105.391 -215.059 4.758 214.089
beta0_H[16] 8.240 31.325 -61.551 8.582 73.726